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Finding the Fourth Proportional to 8,482.47, 12,661.92 and 7,857.12

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Solution

The fourth proportional to 8,482.47, 12,661.92 and 7,857.12 is: 11,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.47 : 12,661.92 = 7,857.12 : x
  2. Step 2: Convert to fraction form
    8,482.47/12,661.92 = 7,857.12/x
  3. Step 3: Cross multiply
    8,482.47x = 12,661.92 × 7,857.12
  4. Step 4: Simplify right side
    8,482.47x = 99,486,224.87
  5. Step 5: Solve for x
    x = 99,486,224.87/8,482.47
  6. Step 6: Final answer
    x = 11,728.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.