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Finding the Fourth Proportional to 15,726.88, 21,702.90 and 8,653.24

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Solution

The fourth proportional to 15,726.88, 21,702.90 and 8,653.24 is: 11,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.88 : 21,702.90 = 8,653.24 : x
  2. Step 2: Convert to fraction form
    15,726.88/21,702.90 = 8,653.24/x
  3. Step 3: Cross multiply
    15,726.88x = 21,702.90 × 8,653.24
  4. Step 4: Simplify right side
    15,726.88x = 187,800,402.40
  5. Step 5: Solve for x
    x = 187,800,402.40/15,726.88
  6. Step 6: Final answer
    x = 11,941.36

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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.