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Finding the Fourth Proportional to 28,547.28, 42,822.06 and 7,770.72

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Solution

The fourth proportional to 28,547.28, 42,822.06 and 7,770.72 is: 11,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.28 : 42,822.06 = 7,770.72 : x
  2. Step 2: Convert to fraction form
    28,547.28/42,822.06 = 7,770.72/x
  3. Step 3: Cross multiply
    28,547.28x = 42,822.06 × 7,770.72
  4. Step 4: Simplify right side
    28,547.28x = 332,758,238.08
  5. Step 5: Solve for x
    x = 332,758,238.08/28,547.28
  6. Step 6: Final answer
    x = 11,656.39

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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.