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Finding the Fourth Proportional to 7,292, 10,062.96 and 3,980

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Solution

The fourth proportional to 7,292, 10,062.96 and 3,980 is: 5,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292 : 10,062.96 = 3,980 : x
  2. Step 2: Convert to fraction form
    7,292/10,062.96 = 3,980/x
  3. Step 3: Cross multiply
    7,292x = 10,062.96 × 3,980
  4. Step 4: Simplify right side
    7,292x = 40,050,580.80
  5. Step 5: Solve for x
    x = 40,050,580.80/7,292
  6. Step 6: Final answer
    x = 5,492.40

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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.