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Finding the Fourth Proportional to 1,653.76, 2,481.18 and 1,191.16

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Solution

The fourth proportional to 1,653.76, 2,481.18 and 1,191.16 is: 1,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.76 : 2,481.18 = 1,191.16 : x
  2. Step 2: Convert to fraction form
    1,653.76/2,481.18 = 1,191.16/x
  3. Step 3: Cross multiply
    1,653.76x = 2,481.18 × 1,191.16
  4. Step 4: Simplify right side
    1,653.76x = 2,955,482.37
  5. Step 5: Solve for x
    x = 2,955,482.37/1,653.76
  6. Step 6: Final answer
    x = 1,787.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.