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Finding the Fourth Proportional to 2,923.70, 4,347.95 and 2,831.42

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Solution

The fourth proportional to 2,923.70, 4,347.95 and 2,831.42 is: 4,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.70 : 4,347.95 = 2,831.42 : x
  2. Step 2: Convert to fraction form
    2,923.70/4,347.95 = 2,831.42/x
  3. Step 3: Cross multiply
    2,923.70x = 4,347.95 × 2,831.42
  4. Step 4: Simplify right side
    2,923.70x = 12,310,869.30
  5. Step 5: Solve for x
    x = 12,310,869.30/2,923.70
  6. Step 6: Final answer
    x = 4,210.72

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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.