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Finding the Fourth Proportional to 6,442.79, 9,666.62 and 2,282.63

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Solution

The fourth proportional to 6,442.79, 9,666.62 and 2,282.63 is: 3,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.79 : 9,666.62 = 2,282.63 : x
  2. Step 2: Convert to fraction form
    6,442.79/9,666.62 = 2,282.63/x
  3. Step 3: Cross multiply
    6,442.79x = 9,666.62 × 2,282.63
  4. Step 4: Simplify right side
    6,442.79x = 22,065,305.40
  5. Step 5: Solve for x
    x = 22,065,305.40/6,442.79
  6. Step 6: Final answer
    x = 3,424.81

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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.