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Finding the Fourth Proportional to 9,955.16, 13,752.05 and 9,057.30

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Solution

The fourth proportional to 9,955.16, 13,752.05 and 9,057.30 is: 12,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.16 : 13,752.05 = 9,057.30 : x
  2. Step 2: Convert to fraction form
    9,955.16/13,752.05 = 9,057.30/x
  3. Step 3: Cross multiply
    9,955.16x = 13,752.05 × 9,057.30
  4. Step 4: Simplify right side
    9,955.16x = 124,556,397.18
  5. Step 5: Solve for x
    x = 124,556,397.18/9,955.16
  6. Step 6: Final answer
    x = 12,511.75

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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.