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Finding the Fourth Proportional to 2,928.25, 4,393.14 and 876.25

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Solution

The fourth proportional to 2,928.25, 4,393.14 and 876.25 is: 1,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.25 : 4,393.14 = 876.25 : x
  2. Step 2: Convert to fraction form
    2,928.25/4,393.14 = 876.25/x
  3. Step 3: Cross multiply
    2,928.25x = 4,393.14 × 876.25
  4. Step 4: Simplify right side
    2,928.25x = 3,849,488.93
  5. Step 5: Solve for x
    x = 3,849,488.93/2,928.25
  6. Step 6: Final answer
    x = 1,314.60

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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.