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Finding the Fourth Proportional to 2,591.93, 3,888.45 and 948.47

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Solution

The fourth proportional to 2,591.93, 3,888.45 and 948.47 is: 1,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.93 : 3,888.45 = 948.47 : x
  2. Step 2: Convert to fraction form
    2,591.93/3,888.45 = 948.47/x
  3. Step 3: Cross multiply
    2,591.93x = 3,888.45 × 948.47
  4. Step 4: Simplify right side
    2,591.93x = 3,688,058.73
  5. Step 5: Solve for x
    x = 3,688,058.73/2,591.93
  6. Step 6: Final answer
    x = 1,422.90

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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.