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Finding the Fourth Proportional to 11,526.78, 15,909.03 and 9,038.46

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Solution

The fourth proportional to 11,526.78, 15,909.03 and 9,038.46 is: 12,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.78 : 15,909.03 = 9,038.46 : x
  2. Step 2: Convert to fraction form
    11,526.78/15,909.03 = 9,038.46/x
  3. Step 3: Cross multiply
    11,526.78x = 15,909.03 × 9,038.46
  4. Step 4: Simplify right side
    11,526.78x = 143,793,131.29
  5. Step 5: Solve for x
    x = 143,793,131.29/11,526.78
  6. Step 6: Final answer
    x = 12,474.70

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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.