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Finding the Fourth Proportional to 10,961.64, 15,130.22 and 9,706.80

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Solution

The fourth proportional to 10,961.64, 15,130.22 and 9,706.80 is: 13,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.64 : 15,130.22 = 9,706.80 : x
  2. Step 2: Convert to fraction form
    10,961.64/15,130.22 = 9,706.80/x
  3. Step 3: Cross multiply
    10,961.64x = 15,130.22 × 9,706.80
  4. Step 4: Simplify right side
    10,961.64x = 146,866,019.50
  5. Step 5: Solve for x
    x = 146,866,019.50/10,961.64
  6. Step 6: Final answer
    x = 13,398.18

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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.