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Finding the Fourth Proportional to 1,925.90, 2,886.78 and 830.78

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Solution

The fourth proportional to 1,925.90, 2,886.78 and 830.78 is: 1,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.90 : 2,886.78 = 830.78 : x
  2. Step 2: Convert to fraction form
    1,925.90/2,886.78 = 830.78/x
  3. Step 3: Cross multiply
    1,925.90x = 2,886.78 × 830.78
  4. Step 4: Simplify right side
    1,925.90x = 2,398,279.09
  5. Step 5: Solve for x
    x = 2,398,279.09/1,925.90
  6. Step 6: Final answer
    x = 1,245.28

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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.