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Finding the Fourth Proportional to 7,098, 9,800.28 and 5,769.60

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Solution

The fourth proportional to 7,098, 9,800.28 and 5,769.60 is: 7,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098 : 9,800.28 = 5,769.60 : x
  2. Step 2: Convert to fraction form
    7,098/9,800.28 = 5,769.60/x
  3. Step 3: Cross multiply
    7,098x = 9,800.28 × 5,769.60
  4. Step 4: Simplify right side
    7,098x = 56,543,695.49
  5. Step 5: Solve for x
    x = 56,543,695.49/7,098
  6. Step 6: Final answer
    x = 7,966.14

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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.