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Finding the Fourth Proportional to 2,909.77, 4,013.77 and 1,831.32

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Solution

The fourth proportional to 2,909.77, 4,013.77 and 1,831.32 is: 2,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.77 : 4,013.77 = 1,831.32 : x
  2. Step 2: Convert to fraction form
    2,909.77/4,013.77 = 1,831.32/x
  3. Step 3: Cross multiply
    2,909.77x = 4,013.77 × 1,831.32
  4. Step 4: Simplify right side
    2,909.77x = 7,350,497.28
  5. Step 5: Solve for x
    x = 7,350,497.28/2,909.77
  6. Step 6: Final answer
    x = 2,526.14

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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.