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Finding the Fourth Proportional to 15,789.84, 23,649.12 and 9,206.16

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Solution

The fourth proportional to 15,789.84, 23,649.12 and 9,206.16 is: 13,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789.84 : 23,649.12 = 9,206.16 : x
  2. Step 2: Convert to fraction form
    15,789.84/23,649.12 = 9,206.16/x
  3. Step 3: Cross multiply
    15,789.84x = 23,649.12 × 9,206.16
  4. Step 4: Simplify right side
    15,789.84x = 217,717,582.58
  5. Step 5: Solve for x
    x = 217,717,582.58/15,789.84
  6. Step 6: Final answer
    x = 13,788.46

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