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Finding the Fourth Proportional to 2,831.52, 3,907.53 and 1,652.70

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Solution

The fourth proportional to 2,831.52, 3,907.53 and 1,652.70 is: 2,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.52 : 3,907.53 = 1,652.70 : x
  2. Step 2: Convert to fraction form
    2,831.52/3,907.53 = 1,652.70/x
  3. Step 3: Cross multiply
    2,831.52x = 3,907.53 × 1,652.70
  4. Step 4: Simplify right side
    2,831.52x = 6,457,974.83
  5. Step 5: Solve for x
    x = 6,457,974.83/2,831.52
  6. Step 6: Final answer
    x = 2,280.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.