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Finding the Fourth Proportional to 2,528.47, 3,790.31 and 883.95

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Solution

The fourth proportional to 2,528.47, 3,790.31 and 883.95 is: 1,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.47 : 3,790.31 = 883.95 : x
  2. Step 2: Convert to fraction form
    2,528.47/3,790.31 = 883.95/x
  3. Step 3: Cross multiply
    2,528.47x = 3,790.31 × 883.95
  4. Step 4: Simplify right side
    2,528.47x = 3,350,421.15
  5. Step 5: Solve for x
    x = 3,350,421.15/2,528.47
  6. Step 6: Final answer
    x = 1,325.08

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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.