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Finding the Fourth Proportional to 1,909.16, 2,648.02 and 1,831.40

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Solution

The fourth proportional to 1,909.16, 2,648.02 and 1,831.40 is: 2,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.16 : 2,648.02 = 1,831.40 : x
  2. Step 2: Convert to fraction form
    1,909.16/2,648.02 = 1,831.40/x
  3. Step 3: Cross multiply
    1,909.16x = 2,648.02 × 1,831.40
  4. Step 4: Simplify right side
    1,909.16x = 4,849,583.83
  5. Step 5: Solve for x
    x = 4,849,583.83/1,909.16
  6. Step 6: Final answer
    x = 2,540.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.