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Finding the Fourth Proportional to 8,548, 11,787.84 and 5,191.36

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Solution

The fourth proportional to 8,548, 11,787.84 and 5,191.36 is: 7,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548 : 11,787.84 = 5,191.36 : x
  2. Step 2: Convert to fraction form
    8,548/11,787.84 = 5,191.36/x
  3. Step 3: Cross multiply
    8,548x = 11,787.84 × 5,191.36
  4. Step 4: Simplify right side
    8,548x = 61,194,921.06
  5. Step 5: Solve for x
    x = 61,194,921.06/8,548
  6. Step 6: Final answer
    x = 7,158.98

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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.