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Finding the Fourth Proportional to 9,531.16, 14,318.70 and 9,137.50

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Solution

The fourth proportional to 9,531.16, 14,318.70 and 9,137.50 is: 13,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.16 : 14,318.70 = 9,137.50 : x
  2. Step 2: Convert to fraction form
    9,531.16/14,318.70 = 9,137.50/x
  3. Step 3: Cross multiply
    9,531.16x = 14,318.70 × 9,137.50
  4. Step 4: Simplify right side
    9,531.16x = 130,837,121.25
  5. Step 5: Solve for x
    x = 130,837,121.25/9,531.16
  6. Step 6: Final answer
    x = 13,727.30

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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.