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Finding the Fourth Proportional to 10,557.71, 15,842.03 and 7,659.93

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Solution

The fourth proportional to 10,557.71, 15,842.03 and 7,659.93 is: 11,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.71 : 15,842.03 = 7,659.93 : x
  2. Step 2: Convert to fraction form
    10,557.71/15,842.03 = 7,659.93/x
  3. Step 3: Cross multiply
    10,557.71x = 15,842.03 × 7,659.93
  4. Step 4: Simplify right side
    10,557.71x = 121,348,840.86
  5. Step 5: Solve for x
    x = 121,348,840.86/10,557.71
  6. Step 6: Final answer
    x = 11,493.86

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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.