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Finding the Fourth Proportional to 5,642, 8,463.48 and 1,538

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Solution

The fourth proportional to 5,642, 8,463.48 and 1,538 is: 2,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 8,463.48 = 1,538 : x
  2. Step 2: Convert to fraction form
    5,642/8,463.48 = 1,538/x
  3. Step 3: Cross multiply
    5,642x = 8,463.48 × 1,538
  4. Step 4: Simplify right side
    5,642x = 13,016,832.24
  5. Step 5: Solve for x
    x = 13,016,832.24/5,642
  6. Step 6: Final answer
    x = 2,307.13

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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.