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Finding the Fourth Proportional to 5,891.60, 8,831.64 and 2,810

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Solution

The fourth proportional to 5,891.60, 8,831.64 and 2,810 is: 4,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.60 : 8,831.64 = 2,810 : x
  2. Step 2: Convert to fraction form
    5,891.60/8,831.64 = 2,810/x
  3. Step 3: Cross multiply
    5,891.60x = 8,831.64 × 2,810
  4. Step 4: Simplify right side
    5,891.60x = 24,816,908.40
  5. Step 5: Solve for x
    x = 24,816,908.40/5,891.60
  6. Step 6: Final answer
    x = 4,212.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.