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Finding the Fourth Proportional to 10,308.40, 15,461.16 and 3,382

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Solution

The fourth proportional to 10,308.40, 15,461.16 and 3,382 is: 5,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.40 : 15,461.16 = 3,382 : x
  2. Step 2: Convert to fraction form
    10,308.40/15,461.16 = 3,382/x
  3. Step 3: Cross multiply
    10,308.40x = 15,461.16 × 3,382
  4. Step 4: Simplify right side
    10,308.40x = 52,289,643.12
  5. Step 5: Solve for x
    x = 52,289,643.12/10,308.40
  6. Step 6: Final answer
    x = 5,072.53

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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.