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Finding the Fourth Proportional to 15,480.64, 23,216 and 5,089.92

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Solution

The fourth proportional to 15,480.64, 23,216 and 5,089.92 is: 7,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480.64 : 23,216 = 5,089.92 : x
  2. Step 2: Convert to fraction form
    15,480.64/23,216 = 5,089.92/x
  3. Step 3: Cross multiply
    15,480.64x = 23,216 × 5,089.92
  4. Step 4: Simplify right side
    15,480.64x = 118,167,582.72
  5. Step 5: Solve for x
    x = 118,167,582.72/15,480.64
  6. Step 6: Final answer
    x = 7,633.25

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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.