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Finding the Fourth Proportional to 9,902.98, 13,661 and 6,715.20

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Solution

The fourth proportional to 9,902.98, 13,661 and 6,715.20 is: 9,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.98 : 13,661 = 6,715.20 : x
  2. Step 2: Convert to fraction form
    9,902.98/13,661 = 6,715.20/x
  3. Step 3: Cross multiply
    9,902.98x = 13,661 × 6,715.20
  4. Step 4: Simplify right side
    9,902.98x = 91,736,347.20
  5. Step 5: Solve for x
    x = 91,736,347.20/9,902.98
  6. Step 6: Final answer
    x = 9,263.51

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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.