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Finding the Fourth Proportional to 10,508, 15,767 and 6,558.18

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Solution

The fourth proportional to 10,508, 15,767 and 6,558.18 is: 9,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508 : 15,767 = 6,558.18 : x
  2. Step 2: Convert to fraction form
    10,508/15,767 = 6,558.18/x
  3. Step 3: Cross multiply
    10,508x = 15,767 × 6,558.18
  4. Step 4: Simplify right side
    10,508x = 103,402,824.06
  5. Step 5: Solve for x
    x = 103,402,824.06/10,508
  6. Step 6: Final answer
    x = 9,840.39

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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.