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Finding the Fourth Proportional to 12,888.39, 17,785.13 and 7,582.19

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Solution

The fourth proportional to 12,888.39, 17,785.13 and 7,582.19 is: 10,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.39 : 17,785.13 = 7,582.19 : x
  2. Step 2: Convert to fraction form
    12,888.39/17,785.13 = 7,582.19/x
  3. Step 3: Cross multiply
    12,888.39x = 17,785.13 × 7,582.19
  4. Step 4: Simplify right side
    12,888.39x = 134,850,164.86
  5. Step 5: Solve for x
    x = 134,850,164.86/12,888.39
  6. Step 6: Final answer
    x = 10,462.92

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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.