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Finding the Fourth Proportional to 28,364.92, 42,547.38 and 7,587.88

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Solution

The fourth proportional to 28,364.92, 42,547.38 and 7,587.88 is: 11,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364.92 : 42,547.38 = 7,587.88 : x
  2. Step 2: Convert to fraction form
    28,364.92/42,547.38 = 7,587.88/x
  3. Step 3: Cross multiply
    28,364.92x = 42,547.38 × 7,587.88
  4. Step 4: Simplify right side
    28,364.92x = 322,844,163.08
  5. Step 5: Solve for x
    x = 322,844,163.08/28,364.92
  6. Step 6: Final answer
    x = 11,381.81

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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.