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Finding the Fourth Proportional to 15,467.76, 21,345.12 and 9,180

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Solution

The fourth proportional to 15,467.76, 21,345.12 and 9,180 is: 12,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.76 : 21,345.12 = 9,180 : x
  2. Step 2: Convert to fraction form
    15,467.76/21,345.12 = 9,180/x
  3. Step 3: Cross multiply
    15,467.76x = 21,345.12 × 9,180
  4. Step 4: Simplify right side
    15,467.76x = 195,948,201.60
  5. Step 5: Solve for x
    x = 195,948,201.60/15,467.76
  6. Step 6: Final answer
    x = 12,668.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.