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Finding the Fourth Proportional to 12,534.60, 17,289.88 and 8,064.16

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Solution

The fourth proportional to 12,534.60, 17,289.88 and 8,064.16 is: 11,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.60 : 17,289.88 = 8,064.16 : x
  2. Step 2: Convert to fraction form
    12,534.60/17,289.88 = 8,064.16/x
  3. Step 3: Cross multiply
    12,534.60x = 17,289.88 × 8,064.16
  4. Step 4: Simplify right side
    12,534.60x = 139,428,358.70
  5. Step 5: Solve for x
    x = 139,428,358.70/12,534.60
  6. Step 6: Final answer
    x = 11,123.48

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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.