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Finding the Fourth Proportional to 15,804.64, 23,687.52 and 8,009.20

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Solution

The fourth proportional to 15,804.64, 23,687.52 and 8,009.20 is: 12,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.64 : 23,687.52 = 8,009.20 : x
  2. Step 2: Convert to fraction form
    15,804.64/23,687.52 = 8,009.20/x
  3. Step 3: Cross multiply
    15,804.64x = 23,687.52 × 8,009.20
  4. Step 4: Simplify right side
    15,804.64x = 189,718,085.18
  5. Step 5: Solve for x
    x = 189,718,085.18/15,804.64
  6. Step 6: Final answer
    x = 12,003.95

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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.