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Finding the Fourth Proportional to 3,156.61, 4,356.91 and 1,831.11

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Solution

The fourth proportional to 3,156.61, 4,356.91 and 1,831.11 is: 2,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.61 : 4,356.91 = 1,831.11 : x
  2. Step 2: Convert to fraction form
    3,156.61/4,356.91 = 1,831.11/x
  3. Step 3: Cross multiply
    3,156.61x = 4,356.91 × 1,831.11
  4. Step 4: Simplify right side
    3,156.61x = 7,977,981.47
  5. Step 5: Solve for x
    x = 7,977,981.47/3,156.61
  6. Step 6: Final answer
    x = 2,527.39

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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.