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Finding the Fourth Proportional to 11,402.70, 15,717.74 and 8,566.04

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Solution

The fourth proportional to 11,402.70, 15,717.74 and 8,566.04 is: 11,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.70 : 15,717.74 = 8,566.04 : x
  2. Step 2: Convert to fraction form
    11,402.70/15,717.74 = 8,566.04/x
  3. Step 3: Cross multiply
    11,402.70x = 15,717.74 × 8,566.04
  4. Step 4: Simplify right side
    11,402.70x = 134,638,668.13
  5. Step 5: Solve for x
    x = 134,638,668.13/11,402.70
  6. Step 6: Final answer
    x = 11,807.61

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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.