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Finding the Fourth Proportional to 10,689.69, 14,755.88 and 9,568.65

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Solution

The fourth proportional to 10,689.69, 14,755.88 and 9,568.65 is: 13,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.69 : 14,755.88 = 9,568.65 : x
  2. Step 2: Convert to fraction form
    10,689.69/14,755.88 = 9,568.65/x
  3. Step 3: Cross multiply
    10,689.69x = 14,755.88 × 9,568.65
  4. Step 4: Simplify right side
    10,689.69x = 141,193,851.16
  5. Step 5: Solve for x
    x = 141,193,851.16/10,689.69
  6. Step 6: Final answer
    x = 13,208.41

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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.