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Finding the Fourth Proportional to 10,401.48, 15,616.80 and 9,082.80

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Solution

The fourth proportional to 10,401.48, 15,616.80 and 9,082.80 is: 13,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.48 : 15,616.80 = 9,082.80 : x
  2. Step 2: Convert to fraction form
    10,401.48/15,616.80 = 9,082.80/x
  3. Step 3: Cross multiply
    10,401.48x = 15,616.80 × 9,082.80
  4. Step 4: Simplify right side
    10,401.48x = 141,844,271.04
  5. Step 5: Solve for x
    x = 141,844,271.04/10,401.48
  6. Step 6: Final answer
    x = 13,636.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.