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Finding the Fourth Proportional to 11,486.28, 15,862.14 and 9,899.22

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Solution

The fourth proportional to 11,486.28, 15,862.14 and 9,899.22 is: 13,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.28 : 15,862.14 = 9,899.22 : x
  2. Step 2: Convert to fraction form
    11,486.28/15,862.14 = 9,899.22/x
  3. Step 3: Cross multiply
    11,486.28x = 15,862.14 × 9,899.22
  4. Step 4: Simplify right side
    11,486.28x = 157,022,813.53
  5. Step 5: Solve for x
    x = 157,022,813.53/11,486.28
  6. Step 6: Final answer
    x = 13,670.47

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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.