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Finding the Fourth Proportional to 3,012.60, 4,157.60 and 1,686.42

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Solution

The fourth proportional to 3,012.60, 4,157.60 and 1,686.42 is: 2,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.60 : 4,157.60 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    3,012.60/4,157.60 = 1,686.42/x
  3. Step 3: Cross multiply
    3,012.60x = 4,157.60 × 1,686.42
  4. Step 4: Simplify right side
    3,012.60x = 7,011,459.79
  5. Step 5: Solve for x
    x = 7,011,459.79/3,012.60
  6. Step 6: Final answer
    x = 2,327.38

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Half scale
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Find fourth proportional to 3,013.60, 4,158.98 and 1,687.42
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.