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Finding the Fourth Proportional to 9,967.75, 13,756.13 and 5,491.51

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Solution

The fourth proportional to 9,967.75, 13,756.13 and 5,491.51 is: 7,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.75 : 13,756.13 = 5,491.51 : x
  2. Step 2: Convert to fraction form
    9,967.75/13,756.13 = 5,491.51/x
  3. Step 3: Cross multiply
    9,967.75x = 13,756.13 × 5,491.51
  4. Step 4: Simplify right side
    9,967.75x = 75,541,925.46
  5. Step 5: Solve for x
    x = 75,541,925.46/9,967.75
  6. Step 6: Final answer
    x = 7,578.63

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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.