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Finding the Fourth Proportional to 10,419, 15,634.10 and 6,045.08

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Solution

The fourth proportional to 10,419, 15,634.10 and 6,045.08 is: 9,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 15,634.10 = 6,045.08 : x
  2. Step 2: Convert to fraction form
    10,419/15,634.10 = 6,045.08/x
  3. Step 3: Cross multiply
    10,419x = 15,634.10 × 6,045.08
  4. Step 4: Simplify right side
    10,419x = 94,509,385.23
  5. Step 5: Solve for x
    x = 94,509,385.23/10,419
  6. Step 6: Final answer
    x = 9,070.87

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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.