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Finding the Fourth Proportional to 5,210.07, 7,811.19 and 2,871.06

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Solution

The fourth proportional to 5,210.07, 7,811.19 and 2,871.06 is: 4,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.07 : 7,811.19 = 2,871.06 : x
  2. Step 2: Convert to fraction form
    5,210.07/7,811.19 = 2,871.06/x
  3. Step 3: Cross multiply
    5,210.07x = 7,811.19 × 2,871.06
  4. Step 4: Simplify right side
    5,210.07x = 22,426,395.16
  5. Step 5: Solve for x
    x = 22,426,395.16/5,210.07
  6. Step 6: Final answer
    x = 4,304.43

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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.