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Finding the Fourth Proportional to 3,343.10, 5,014.50 and 877.87

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Solution

The fourth proportional to 3,343.10, 5,014.50 and 877.87 is: 1,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.10 : 5,014.50 = 877.87 : x
  2. Step 2: Convert to fraction form
    3,343.10/5,014.50 = 877.87/x
  3. Step 3: Cross multiply
    3,343.10x = 5,014.50 × 877.87
  4. Step 4: Simplify right side
    3,343.10x = 4,402,079.12
  5. Step 5: Solve for x
    x = 4,402,079.12/3,343.10
  6. Step 6: Final answer
    x = 1,316.77

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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.