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Finding the Fourth Proportional to 10,431, 15,642.68 and 3,033.46

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Solution

The fourth proportional to 10,431, 15,642.68 and 3,033.46 is: 4,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 15,642.68 = 3,033.46 : x
  2. Step 2: Convert to fraction form
    10,431/15,642.68 = 3,033.46/x
  3. Step 3: Cross multiply
    10,431x = 15,642.68 × 3,033.46
  4. Step 4: Simplify right side
    10,431x = 47,451,444.07
  5. Step 5: Solve for x
    x = 47,451,444.07/10,431
  6. Step 6: Final answer
    x = 4,549.08

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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.