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Finding the Fourth Proportional to 10,410, 15,617.16 and 4,254

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Solution

The fourth proportional to 10,410, 15,617.16 and 4,254 is: 6,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410 : 15,617.16 = 4,254 : x
  2. Step 2: Convert to fraction form
    10,410/15,617.16 = 4,254/x
  3. Step 3: Cross multiply
    10,410x = 15,617.16 × 4,254
  4. Step 4: Simplify right side
    10,410x = 66,435,398.64
  5. Step 5: Solve for x
    x = 66,435,398.64/10,410
  6. Step 6: Final answer
    x = 6,381.88

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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.