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Finding the Fourth Proportional to 4,974.42, 7,459.47 and 1,686.63

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Solution

The fourth proportional to 4,974.42, 7,459.47 and 1,686.63 is: 2,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.42 : 7,459.47 = 1,686.63 : x
  2. Step 2: Convert to fraction form
    4,974.42/7,459.47 = 1,686.63/x
  3. Step 3: Cross multiply
    4,974.42x = 7,459.47 × 1,686.63
  4. Step 4: Simplify right side
    4,974.42x = 12,581,365.89
  5. Step 5: Solve for x
    x = 12,581,365.89/4,974.42
  6. Step 6: Final answer
    x = 2,529.21

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.