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Finding the Fourth Proportional to 7,166.78, 9,889.80 and 4,023.20

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Solution

The fourth proportional to 7,166.78, 9,889.80 and 4,023.20 is: 5,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.78 : 9,889.80 = 4,023.20 : x
  2. Step 2: Convert to fraction form
    7,166.78/9,889.80 = 4,023.20/x
  3. Step 3: Cross multiply
    7,166.78x = 9,889.80 × 4,023.20
  4. Step 4: Simplify right side
    7,166.78x = 39,788,643.36
  5. Step 5: Solve for x
    x = 39,788,643.36/7,166.78
  6. Step 6: Final answer
    x = 5,551.82

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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.