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Finding the Fourth Proportional to 4,651.52, 6,978.30 and 1,531.40

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Solution

The fourth proportional to 4,651.52, 6,978.30 and 1,531.40 is: 2,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.52 : 6,978.30 = 1,531.40 : x
  2. Step 2: Convert to fraction form
    4,651.52/6,978.30 = 1,531.40/x
  3. Step 3: Cross multiply
    4,651.52x = 6,978.30 × 1,531.40
  4. Step 4: Simplify right side
    4,651.52x = 10,686,533.73
  5. Step 5: Solve for x
    x = 10,686,533.73/4,651.52
  6. Step 6: Final answer
    x = 2,297.43

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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.