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Finding the Fourth Proportional to 20,407.68, 28,164.12 and 11,457.12

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Solution

The fourth proportional to 20,407.68, 28,164.12 and 11,457.12 is: 15,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.68 : 28,164.12 = 11,457.12 : x
  2. Step 2: Convert to fraction form
    20,407.68/28,164.12 = 11,457.12/x
  3. Step 3: Cross multiply
    20,407.68x = 28,164.12 × 11,457.12
  4. Step 4: Simplify right side
    20,407.68x = 322,679,702.53
  5. Step 5: Solve for x
    x = 322,679,702.53/20,407.68
  6. Step 6: Final answer
    x = 15,811.68

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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.