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Finding the Fourth Proportional to 9,686.80, 14,531.90 and 5,005.50

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Solution

The fourth proportional to 9,686.80, 14,531.90 and 5,005.50 is: 7,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.80 : 14,531.90 = 5,005.50 : x
  2. Step 2: Convert to fraction form
    9,686.80/14,531.90 = 5,005.50/x
  3. Step 3: Cross multiply
    9,686.80x = 14,531.90 × 5,005.50
  4. Step 4: Simplify right side
    9,686.80x = 72,739,425.45
  5. Step 5: Solve for x
    x = 72,739,425.45/9,686.80
  6. Step 6: Final answer
    x = 7,509.13

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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.