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Finding the Fourth Proportional to 9,885.80, 13,648.89 and 5,908.16

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Solution

The fourth proportional to 9,885.80, 13,648.89 and 5,908.16 is: 8,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.80 : 13,648.89 = 5,908.16 : x
  2. Step 2: Convert to fraction form
    9,885.80/13,648.89 = 5,908.16/x
  3. Step 3: Cross multiply
    9,885.80x = 13,648.89 × 5,908.16
  4. Step 4: Simplify right side
    9,885.80x = 80,639,825.94
  5. Step 5: Solve for x
    x = 80,639,825.94/9,885.80
  6. Step 6: Final answer
    x = 8,157.14

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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.