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Finding the Fourth Proportional to 38,713.50, 58,080 and 11,011.50

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Solution

The fourth proportional to 38,713.50, 58,080 and 11,011.50 is: 16,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.50 : 58,080 = 11,011.50 : x
  2. Step 2: Convert to fraction form
    38,713.50/58,080 = 11,011.50/x
  3. Step 3: Cross multiply
    38,713.50x = 58,080 × 11,011.50
  4. Step 4: Simplify right side
    38,713.50x = 639,547,920
  5. Step 5: Solve for x
    x = 639,547,920/38,713.50
  6. Step 6: Final answer
    x = 16,520.02

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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.