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Finding the Fourth Proportional to 1,293.57, 1,931.45 and 1,061.71

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Solution

The fourth proportional to 1,293.57, 1,931.45 and 1,061.71 is: 1,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.57 : 1,931.45 = 1,061.71 : x
  2. Step 2: Convert to fraction form
    1,293.57/1,931.45 = 1,061.71/x
  3. Step 3: Cross multiply
    1,293.57x = 1,931.45 × 1,061.71
  4. Step 4: Simplify right side
    1,293.57x = 2,050,629.64
  5. Step 5: Solve for x
    x = 2,050,629.64/1,293.57
  6. Step 6: Final answer
    x = 1,585.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.