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Finding the Fourth Proportional to 15,534, 21,438.95 and 9,246.38

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Solution

The fourth proportional to 15,534, 21,438.95 and 9,246.38 is: 12,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534 : 21,438.95 = 9,246.38 : x
  2. Step 2: Convert to fraction form
    15,534/21,438.95 = 9,246.38/x
  3. Step 3: Cross multiply
    15,534x = 21,438.95 × 9,246.38
  4. Step 4: Simplify right side
    15,534x = 198,232,525.07
  5. Step 5: Solve for x
    x = 198,232,525.07/15,534
  6. Step 6: Final answer
    x = 12,761.20

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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.