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Finding the Fourth Proportional to 9,801.20, 13,521 and 5,606.96

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Solution

The fourth proportional to 9,801.20, 13,521 and 5,606.96 is: 7,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.20 : 13,521 = 5,606.96 : x
  2. Step 2: Convert to fraction form
    9,801.20/13,521 = 5,606.96/x
  3. Step 3: Cross multiply
    9,801.20x = 13,521 × 5,606.96
  4. Step 4: Simplify right side
    9,801.20x = 75,811,706.16
  5. Step 5: Solve for x
    x = 75,811,706.16/9,801.20
  6. Step 6: Final answer
    x = 7,734.94

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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.