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Finding the Fourth Proportional to 6,508.86, 8,972.55 and 5,109.18

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Solution

The fourth proportional to 6,508.86, 8,972.55 and 5,109.18 is: 7,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.86 : 8,972.55 = 5,109.18 : x
  2. Step 2: Convert to fraction form
    6,508.86/8,972.55 = 5,109.18/x
  3. Step 3: Cross multiply
    6,508.86x = 8,972.55 × 5,109.18
  4. Step 4: Simplify right side
    6,508.86x = 45,842,373.01
  5. Step 5: Solve for x
    x = 45,842,373.01/6,508.86
  6. Step 6: Final answer
    x = 7,043.07

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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.