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Finding the Fourth Proportional to 1,831.80, 2,749.10 and 954.52

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Solution

The fourth proportional to 1,831.80, 2,749.10 and 954.52 is: 1,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.80 : 2,749.10 = 954.52 : x
  2. Step 2: Convert to fraction form
    1,831.80/2,749.10 = 954.52/x
  3. Step 3: Cross multiply
    1,831.80x = 2,749.10 × 954.52
  4. Step 4: Simplify right side
    1,831.80x = 2,624,077.60
  5. Step 5: Solve for x
    x = 2,624,077.60/1,831.80
  6. Step 6: Final answer
    x = 1,432.51

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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.