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Finding the Fourth Proportional to 3,054.78, 4,581.65 and 863.00

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Solution

The fourth proportional to 3,054.78, 4,581.65 and 863.00 is: 1,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.78 : 4,581.65 = 863.00 : x
  2. Step 2: Convert to fraction form
    3,054.78/4,581.65 = 863.00/x
  3. Step 3: Cross multiply
    3,054.78x = 4,581.65 × 863.00
  4. Step 4: Simplify right side
    3,054.78x = 3,953,943.20
  5. Step 5: Solve for x
    x = 3,953,943.20/3,054.78
  6. Step 6: Final answer
    x = 1,294.35

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1.5x scale

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.