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Finding the Fourth Proportional to 7,165.10, 9,892.86 and 4,648.70

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Solution

The fourth proportional to 7,165.10, 9,892.86 and 4,648.70 is: 6,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.10 : 9,892.86 = 4,648.70 : x
  2. Step 2: Convert to fraction form
    7,165.10/9,892.86 = 4,648.70/x
  3. Step 3: Cross multiply
    7,165.10x = 9,892.86 × 4,648.70
  4. Step 4: Simplify right side
    7,165.10x = 45,988,938.28
  5. Step 5: Solve for x
    x = 45,988,938.28/7,165.10
  6. Step 6: Final answer
    x = 6,418.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.