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Finding the Fourth Proportional to 15,421.52, 21,281.80 and 8,348

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Solution

The fourth proportional to 15,421.52, 21,281.80 and 8,348 is: 11,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,421.52 : 21,281.80 = 8,348 : x
  2. Step 2: Convert to fraction form
    15,421.52/21,281.80 = 8,348/x
  3. Step 3: Cross multiply
    15,421.52x = 21,281.80 × 8,348
  4. Step 4: Simplify right side
    15,421.52x = 177,660,466.40
  5. Step 5: Solve for x
    x = 177,660,466.40/15,421.52
  6. Step 6: Final answer
    x = 11,520.30

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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.