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Finding the Fourth Proportional to 21,602.96, 32,403.35 and 8,457.74

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Solution

The fourth proportional to 21,602.96, 32,403.35 and 8,457.74 is: 12,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.96 : 32,403.35 = 8,457.74 : x
  2. Step 2: Convert to fraction form
    21,602.96/32,403.35 = 8,457.74/x
  3. Step 3: Cross multiply
    21,602.96x = 32,403.35 × 8,457.74
  4. Step 4: Simplify right side
    21,602.96x = 274,059,109.43
  5. Step 5: Solve for x
    x = 274,059,109.43/21,602.96
  6. Step 6: Final answer
    x = 12,686.18

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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.