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Finding the Fourth Proportional to 9,872.59, 13,620.28 and 5,678.59

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Solution

The fourth proportional to 9,872.59, 13,620.28 and 5,678.59 is: 7,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.59 : 13,620.28 = 5,678.59 : x
  2. Step 2: Convert to fraction form
    9,872.59/13,620.28 = 5,678.59/x
  3. Step 3: Cross multiply
    9,872.59x = 13,620.28 × 5,678.59
  4. Step 4: Simplify right side
    9,872.59x = 77,343,957.41
  5. Step 5: Solve for x
    x = 77,343,957.41/9,872.59
  6. Step 6: Final answer
    x = 7,834.21

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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.