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Finding the Fourth Proportional to 32,702.40, 49,040.16 and 12,978.24

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Solution

The fourth proportional to 32,702.40, 49,040.16 and 12,978.24 is: 19,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.40 : 49,040.16 = 12,978.24 : x
  2. Step 2: Convert to fraction form
    32,702.40/49,040.16 = 12,978.24/x
  3. Step 3: Cross multiply
    32,702.40x = 49,040.16 × 12,978.24
  4. Step 4: Simplify right side
    32,702.40x = 636,454,966.12
  5. Step 5: Solve for x
    x = 636,454,966.12/32,702.40
  6. Step 6: Final answer
    x = 19,462.03

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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.