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Finding the Fourth Proportional to 21,701.32, 32,554.81 and 7,658.04

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Solution

The fourth proportional to 21,701.32, 32,554.81 and 7,658.04 is: 11,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.32 : 32,554.81 = 7,658.04 : x
  2. Step 2: Convert to fraction form
    21,701.32/32,554.81 = 7,658.04/x
  3. Step 3: Cross multiply
    21,701.32x = 32,554.81 × 7,658.04
  4. Step 4: Simplify right side
    21,701.32x = 249,306,168.83
  5. Step 5: Solve for x
    x = 249,306,168.83/21,701.32
  6. Step 6: Final answer
    x = 11,488.07

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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.