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Finding the Fourth Proportional to 21,702.90, 32,554.36 and 7,848.66

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Solution

The fourth proportional to 21,702.90, 32,554.36 and 7,848.66 is: 11,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.90 : 32,554.36 = 7,848.66 : x
  2. Step 2: Convert to fraction form
    21,702.90/32,554.36 = 7,848.66/x
  3. Step 3: Cross multiply
    21,702.90x = 32,554.36 × 7,848.66
  4. Step 4: Simplify right side
    21,702.90x = 255,508,103.16
  5. Step 5: Solve for x
    x = 255,508,103.16/21,702.90
  6. Step 6: Final answer
    x = 11,772.99

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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.