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Finding the Fourth Proportional to 21,657.68, 32,423.64 and 12,624.23

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Solution

The fourth proportional to 21,657.68, 32,423.64 and 12,624.23 is: 18,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.68 : 32,423.64 = 12,624.23 : x
  2. Step 2: Convert to fraction form
    21,657.68/32,423.64 = 12,624.23/x
  3. Step 3: Cross multiply
    21,657.68x = 32,423.64 × 12,624.23
  4. Step 4: Simplify right side
    21,657.68x = 409,323,502.34
  5. Step 5: Solve for x
    x = 409,323,502.34/21,657.68
  6. Step 6: Final answer
    x = 18,899.69

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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.