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Finding the Fourth Proportional to 9,891, 13,649.58 and 5,701.68

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Solution

The fourth proportional to 9,891, 13,649.58 and 5,701.68 is: 7,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 13,649.58 = 5,701.68 : x
  2. Step 2: Convert to fraction form
    9,891/13,649.58 = 5,701.68/x
  3. Step 3: Cross multiply
    9,891x = 13,649.58 × 5,701.68
  4. Step 4: Simplify right side
    9,891x = 77,825,537.29
  5. Step 5: Solve for x
    x = 77,825,537.29/9,891
  6. Step 6: Final answer
    x = 7,868.32

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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.