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Finding the Fourth Proportional to 23,489.56, 32,416.68 and 12,880

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Solution

The fourth proportional to 23,489.56, 32,416.68 and 12,880 is: 17,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.56 : 32,416.68 = 12,880 : x
  2. Step 2: Convert to fraction form
    23,489.56/32,416.68 = 12,880/x
  3. Step 3: Cross multiply
    23,489.56x = 32,416.68 × 12,880
  4. Step 4: Simplify right side
    23,489.56x = 417,526,838.40
  5. Step 5: Solve for x
    x = 417,526,838.40/23,489.56
  6. Step 6: Final answer
    x = 17,775.00

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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.