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Finding the Fourth Proportional to 21,742.34, 32,612.48 and 7,702.13

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Solution

The fourth proportional to 21,742.34, 32,612.48 and 7,702.13 is: 11,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.34 : 32,612.48 = 7,702.13 : x
  2. Step 2: Convert to fraction form
    21,742.34/32,612.48 = 7,702.13/x
  3. Step 3: Cross multiply
    21,742.34x = 32,612.48 × 7,702.13
  4. Step 4: Simplify right side
    21,742.34x = 251,185,359.01
  5. Step 5: Solve for x
    x = 251,185,359.01/21,742.34
  6. Step 6: Final answer
    x = 11,552.82

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1.5x scale

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.