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Finding the Fourth Proportional to 8,442.45, 12,664.98 and 3,764.07

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Solution

The fourth proportional to 8,442.45, 12,664.98 and 3,764.07 is: 5,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.45 : 12,664.98 = 3,764.07 : x
  2. Step 2: Convert to fraction form
    8,442.45/12,664.98 = 3,764.07/x
  3. Step 3: Cross multiply
    8,442.45x = 12,664.98 × 3,764.07
  4. Step 4: Simplify right side
    8,442.45x = 47,671,871.27
  5. Step 5: Solve for x
    x = 47,671,871.27/8,442.45
  6. Step 6: Final answer
    x = 5,646.69

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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.