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Finding the Fourth Proportional to 7,156.70, 9,876.74 and 3,970.30

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Solution

The fourth proportional to 7,156.70, 9,876.74 and 3,970.30 is: 5,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.70 : 9,876.74 = 3,970.30 : x
  2. Step 2: Convert to fraction form
    7,156.70/9,876.74 = 3,970.30/x
  3. Step 3: Cross multiply
    7,156.70x = 9,876.74 × 3,970.30
  4. Step 4: Simplify right side
    7,156.70x = 39,213,620.82
  5. Step 5: Solve for x
    x = 39,213,620.82/7,156.70
  6. Step 6: Final answer
    x = 5,479.29

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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.