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Finding the Fourth Proportional to 8,478.16, 12,700.84 and 4,769.12

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Solution

The fourth proportional to 8,478.16, 12,700.84 and 4,769.12 is: 7,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.16 : 12,700.84 = 4,769.12 : x
  2. Step 2: Convert to fraction form
    8,478.16/12,700.84 = 4,769.12/x
  3. Step 3: Cross multiply
    8,478.16x = 12,700.84 × 4,769.12
  4. Step 4: Simplify right side
    8,478.16x = 60,571,830.06
  5. Step 5: Solve for x
    x = 60,571,830.06/8,478.16
  6. Step 6: Final answer
    x = 7,144.45

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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.