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Finding the Fourth Proportional to 15,465, 21,316.50 and 12,101.88

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Solution

The fourth proportional to 15,465, 21,316.50 and 12,101.88 is: 16,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 21,316.50 = 12,101.88 : x
  2. Step 2: Convert to fraction form
    15,465/21,316.50 = 12,101.88/x
  3. Step 3: Cross multiply
    15,465x = 21,316.50 × 12,101.88
  4. Step 4: Simplify right side
    15,465x = 257,969,725.02
  5. Step 5: Solve for x
    x = 257,969,725.02/15,465
  6. Step 6: Final answer
    x = 16,680.87

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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.