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Finding the Fourth Proportional to 5,863.12, 8,719.38 and 5,678.57

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Solution

The fourth proportional to 5,863.12, 8,719.38 and 5,678.57 is: 8,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.12 : 8,719.38 = 5,678.57 : x
  2. Step 2: Convert to fraction form
    5,863.12/8,719.38 = 5,678.57/x
  3. Step 3: Cross multiply
    5,863.12x = 8,719.38 × 5,678.57
  4. Step 4: Simplify right side
    5,863.12x = 49,513,631.49
  5. Step 5: Solve for x
    x = 49,513,631.49/5,863.12
  6. Step 6: Final answer
    x = 8,444.93

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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.