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Finding the Fourth Proportional to 2,778.81, 4,167.19 and 929.51

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Solution

The fourth proportional to 2,778.81, 4,167.19 and 929.51 is: 1,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.81 : 4,167.19 = 929.51 : x
  2. Step 2: Convert to fraction form
    2,778.81/4,167.19 = 929.51/x
  3. Step 3: Cross multiply
    2,778.81x = 4,167.19 × 929.51
  4. Step 4: Simplify right side
    2,778.81x = 3,873,444.78
  5. Step 5: Solve for x
    x = 3,873,444.78/2,778.81
  6. Step 6: Final answer
    x = 1,393.92

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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.