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Finding the Fourth Proportional to 8,500.72, 12,746.08 and 4,338

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Solution

The fourth proportional to 8,500.72, 12,746.08 and 4,338 is: 6,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.72 : 12,746.08 = 4,338 : x
  2. Step 2: Convert to fraction form
    8,500.72/12,746.08 = 4,338/x
  3. Step 3: Cross multiply
    8,500.72x = 12,746.08 × 4,338
  4. Step 4: Simplify right side
    8,500.72x = 55,292,495.04
  5. Step 5: Solve for x
    x = 55,292,495.04/8,500.72
  6. Step 6: Final answer
    x = 6,504.45

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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.