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Finding the Fourth Proportional to 7,098, 9,792 and 4,862.40

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Solution

The fourth proportional to 7,098, 9,792 and 4,862.40 is: 6,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098 : 9,792 = 4,862.40 : x
  2. Step 2: Convert to fraction form
    7,098/9,792 = 4,862.40/x
  3. Step 3: Cross multiply
    7,098x = 9,792 × 4,862.40
  4. Step 4: Simplify right side
    7,098x = 47,612,620.80
  5. Step 5: Solve for x
    x = 47,612,620.80/7,098
  6. Step 6: Final answer
    x = 6,707.89

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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.