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Finding the Fourth Proportional to 9,899.81, 13,661.22 and 5,422.74

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Solution

The fourth proportional to 9,899.81, 13,661.22 and 5,422.74 is: 7,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.81 : 13,661.22 = 5,422.74 : x
  2. Step 2: Convert to fraction form
    9,899.81/13,661.22 = 5,422.74/x
  3. Step 3: Cross multiply
    9,899.81x = 13,661.22 × 5,422.74
  4. Step 4: Simplify right side
    9,899.81x = 74,081,244.14
  5. Step 5: Solve for x
    x = 74,081,244.14/9,899.81
  6. Step 6: Final answer
    x = 7,483.10

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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.