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Finding the Fourth Proportional to 4,147.16, 5,723.16 and 2,258.78

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Solution

The fourth proportional to 4,147.16, 5,723.16 and 2,258.78 is: 3,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.16 : 5,723.16 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    4,147.16/5,723.16 = 2,258.78/x
  3. Step 3: Cross multiply
    4,147.16x = 5,723.16 × 2,258.78
  4. Step 4: Simplify right side
    4,147.16x = 12,927,359.34
  5. Step 5: Solve for x
    x = 12,927,359.34/4,147.16
  6. Step 6: Final answer
    x = 3,117.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.