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Finding the Fourth Proportional to 9,552.12, 13,187.94 and 7,787.88

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Solution

The fourth proportional to 9,552.12, 13,187.94 and 7,787.88 is: 10,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.12 : 13,187.94 = 7,787.88 : x
  2. Step 2: Convert to fraction form
    9,552.12/13,187.94 = 7,787.88/x
  3. Step 3: Cross multiply
    9,552.12x = 13,187.94 × 7,787.88
  4. Step 4: Simplify right side
    9,552.12x = 102,706,094.17
  5. Step 5: Solve for x
    x = 102,706,094.17/9,552.12
  6. Step 6: Final answer
    x = 10,752.18

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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.