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Finding the Fourth Proportional to 28,706.50, 43,061.40 and 10,238.50

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Solution

The fourth proportional to 28,706.50, 43,061.40 and 10,238.50 is: 15,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706.50 : 43,061.40 = 10,238.50 : x
  2. Step 2: Convert to fraction form
    28,706.50/43,061.40 = 10,238.50/x
  3. Step 3: Cross multiply
    28,706.50x = 43,061.40 × 10,238.50
  4. Step 4: Simplify right side
    28,706.50x = 440,884,143.90
  5. Step 5: Solve for x
    x = 440,884,143.90/28,706.50
  6. Step 6: Final answer
    x = 15,358.34

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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.