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Finding the Fourth Proportional to 28,702.02, 43,053 and 7,642.08

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Solution

The fourth proportional to 28,702.02, 43,053 and 7,642.08 is: 11,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,702.02 : 43,053 = 7,642.08 : x
  2. Step 2: Convert to fraction form
    28,702.02/43,053 = 7,642.08/x
  3. Step 3: Cross multiply
    28,702.02x = 43,053 × 7,642.08
  4. Step 4: Simplify right side
    28,702.02x = 329,014,470.24
  5. Step 5: Solve for x
    x = 329,014,470.24/28,702.02
  6. Step 6: Final answer
    x = 11,463.11

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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.