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Finding the Fourth Proportional to 8,442.64, 11,650.81 and 4,665.81

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Solution

The fourth proportional to 8,442.64, 11,650.81 and 4,665.81 is: 6,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.64 : 11,650.81 = 4,665.81 : x
  2. Step 2: Convert to fraction form
    8,442.64/11,650.81 = 4,665.81/x
  3. Step 3: Cross multiply
    8,442.64x = 11,650.81 × 4,665.81
  4. Step 4: Simplify right side
    8,442.64x = 54,360,465.81
  5. Step 5: Solve for x
    x = 54,360,465.81/8,442.64
  6. Step 6: Final answer
    x = 6,438.80

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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.