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Finding the Fourth Proportional to 7,122.04, 9,830.10 and 4,327

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Solution

The fourth proportional to 7,122.04, 9,830.10 and 4,327 is: 5,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.04 : 9,830.10 = 4,327 : x
  2. Step 2: Convert to fraction form
    7,122.04/9,830.10 = 4,327/x
  3. Step 3: Cross multiply
    7,122.04x = 9,830.10 × 4,327
  4. Step 4: Simplify right side
    7,122.04x = 42,534,842.70
  5. Step 5: Solve for x
    x = 42,534,842.70/7,122.04
  6. Step 6: Final answer
    x = 5,972.28

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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.