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Finding the Fourth Proportional to 7,877.75, 10,871.43 and 5,088.11

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Solution

The fourth proportional to 7,877.75, 10,871.43 and 5,088.11 is: 7,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.75 : 10,871.43 = 5,088.11 : x
  2. Step 2: Convert to fraction form
    7,877.75/10,871.43 = 5,088.11/x
  3. Step 3: Cross multiply
    7,877.75x = 10,871.43 × 5,088.11
  4. Step 4: Simplify right side
    7,877.75x = 55,315,031.70
  5. Step 5: Solve for x
    x = 55,315,031.70/7,877.75
  6. Step 6: Final answer
    x = 7,021.68

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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.