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Finding the Fourth Proportional to 10,431.04, 15,648 and 3,507.52

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Solution

The fourth proportional to 10,431.04, 15,648 and 3,507.52 is: 5,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.04 : 15,648 = 3,507.52 : x
  2. Step 2: Convert to fraction form
    10,431.04/15,648 = 3,507.52/x
  3. Step 3: Cross multiply
    10,431.04x = 15,648 × 3,507.52
  4. Step 4: Simplify right side
    10,431.04x = 54,885,672.96
  5. Step 5: Solve for x
    x = 54,885,672.96/10,431.04
  6. Step 6: Final answer
    x = 5,261.76

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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.