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Finding the Fourth Proportional to 7,156.98, 9,877.23 and 3,971.28

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Solution

The fourth proportional to 7,156.98, 9,877.23 and 3,971.28 is: 5,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.98 : 9,877.23 = 3,971.28 : x
  2. Step 2: Convert to fraction form
    7,156.98/9,877.23 = 3,971.28/x
  3. Step 3: Cross multiply
    7,156.98x = 9,877.23 × 3,971.28
  4. Step 4: Simplify right side
    7,156.98x = 39,225,245.95
  5. Step 5: Solve for x
    x = 39,225,245.95/7,156.98
  6. Step 6: Final answer
    x = 5,480.70

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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.