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Finding the Fourth Proportional to 10,690, 14,756.32 and 9,568.96

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Solution

The fourth proportional to 10,690, 14,756.32 and 9,568.96 is: 13,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690 : 14,756.32 = 9,568.96 : x
  2. Step 2: Convert to fraction form
    10,690/14,756.32 = 9,568.96/x
  3. Step 3: Cross multiply
    10,690x = 14,756.32 × 9,568.96
  4. Step 4: Simplify right side
    10,690x = 141,202,635.83
  5. Step 5: Solve for x
    x = 141,202,635.83/10,690
  6. Step 6: Final answer
    x = 13,208.85

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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.