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Finding the Fourth Proportional to 6,442.54, 9,656.43 and 2,972.50

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Solution

The fourth proportional to 6,442.54, 9,656.43 and 2,972.50 is: 4,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.54 : 9,656.43 = 2,972.50 : x
  2. Step 2: Convert to fraction form
    6,442.54/9,656.43 = 2,972.50/x
  3. Step 3: Cross multiply
    6,442.54x = 9,656.43 × 2,972.50
  4. Step 4: Simplify right side
    6,442.54x = 28,703,738.18
  5. Step 5: Solve for x
    x = 28,703,738.18/6,442.54
  6. Step 6: Final answer
    x = 4,455.34

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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.