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Finding the Fourth Proportional to 8,941.30, 12,339.06 and 5,406.86

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Solution

The fourth proportional to 8,941.30, 12,339.06 and 5,406.86 is: 7,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.30 : 12,339.06 = 5,406.86 : x
  2. Step 2: Convert to fraction form
    8,941.30/12,339.06 = 5,406.86/x
  3. Step 3: Cross multiply
    8,941.30x = 12,339.06 × 5,406.86
  4. Step 4: Simplify right side
    8,941.30x = 66,715,569.95
  5. Step 5: Solve for x
    x = 66,715,569.95/8,941.30
  6. Step 6: Final answer
    x = 7,461.51

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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.