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Finding the Fourth Proportional to 1,528.74, 2,293.71 and 912.78

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Solution

The fourth proportional to 1,528.74, 2,293.71 and 912.78 is: 1,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.74 : 2,293.71 = 912.78 : x
  2. Step 2: Convert to fraction form
    1,528.74/2,293.71 = 912.78/x
  3. Step 3: Cross multiply
    1,528.74x = 2,293.71 × 912.78
  4. Step 4: Simplify right side
    1,528.74x = 2,093,652.61
  5. Step 5: Solve for x
    x = 2,093,652.61/1,528.74
  6. Step 6: Final answer
    x = 1,369.53

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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.