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Finding the Fourth Proportional to 7,157.32, 9,877.54 and 4,013.50

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Solution

The fourth proportional to 7,157.32, 9,877.54 and 4,013.50 is: 5,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.32 : 9,877.54 = 4,013.50 : x
  2. Step 2: Convert to fraction form
    7,157.32/9,877.54 = 4,013.50/x
  3. Step 3: Cross multiply
    7,157.32x = 9,877.54 × 4,013.50
  4. Step 4: Simplify right side
    7,157.32x = 39,643,506.79
  5. Step 5: Solve for x
    x = 39,643,506.79/7,157.32
  6. Step 6: Final answer
    x = 5,538.88

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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.