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Finding the Fourth Proportional to 15,888.16, 23,816 and 5,491.04

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Solution

The fourth proportional to 15,888.16, 23,816 and 5,491.04 is: 8,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.16 : 23,816 = 5,491.04 : x
  2. Step 2: Convert to fraction form
    15,888.16/23,816 = 5,491.04/x
  3. Step 3: Cross multiply
    15,888.16x = 23,816 × 5,491.04
  4. Step 4: Simplify right side
    15,888.16x = 130,774,608.64
  5. Step 5: Solve for x
    x = 130,774,608.64/15,888.16
  6. Step 6: Final answer
    x = 8,230.95

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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.