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Finding the Fourth Proportional to 7,166.88, 10,750.68 and 1,972.80

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Solution

The fourth proportional to 7,166.88, 10,750.68 and 1,972.80 is: 2,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.88 : 10,750.68 = 1,972.80 : x
  2. Step 2: Convert to fraction form
    7,166.88/10,750.68 = 1,972.80/x
  3. Step 3: Cross multiply
    7,166.88x = 10,750.68 × 1,972.80
  4. Step 4: Simplify right side
    7,166.88x = 21,208,941.50
  5. Step 5: Solve for x
    x = 21,208,941.50/7,166.88
  6. Step 6: Final answer
    x = 2,959.30

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1.5x scale

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.