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Finding the Fourth Proportional to 31,533, 43,515.84 and 17,386.35

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Solution

The fourth proportional to 31,533, 43,515.84 and 17,386.35 is: 23,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533 : 43,515.84 = 17,386.35 : x
  2. Step 2: Convert to fraction form
    31,533/43,515.84 = 17,386.35/x
  3. Step 3: Cross multiply
    31,533x = 43,515.84 × 17,386.35
  4. Step 4: Simplify right side
    31,533x = 756,581,624.78
  5. Step 5: Solve for x
    x = 756,581,624.78/31,533
  6. Step 6: Final answer
    x = 23,993.33

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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.