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Finding the Fourth Proportional to 21,802.10, 32,703.15 and 14,414.90

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Solution

The fourth proportional to 21,802.10, 32,703.15 and 14,414.90 is: 21,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.10 : 32,703.15 = 14,414.90 : x
  2. Step 2: Convert to fraction form
    21,802.10/32,703.15 = 14,414.90/x
  3. Step 3: Cross multiply
    21,802.10x = 32,703.15 × 14,414.90
  4. Step 4: Simplify right side
    21,802.10x = 471,412,636.94
  5. Step 5: Solve for x
    x = 471,412,636.94/21,802.10
  6. Step 6: Final answer
    x = 21,622.35

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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.