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Finding the Fourth Proportional to 9,216, 12,718.08 and 5,904

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Solution

The fourth proportional to 9,216, 12,718.08 and 5,904 is: 8,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 12,718.08 = 5,904 : x
  2. Step 2: Convert to fraction form
    9,216/12,718.08 = 5,904/x
  3. Step 3: Cross multiply
    9,216x = 12,718.08 × 5,904
  4. Step 4: Simplify right side
    9,216x = 75,087,544.32
  5. Step 5: Solve for x
    x = 75,087,544.32/9,216
  6. Step 6: Final answer
    x = 8,147.52

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Why These Related Problems?

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