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Finding the Fourth Proportional to 23,578.79, 35,371.71 and 7,785.49

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Solution

The fourth proportional to 23,578.79, 35,371.71 and 7,785.49 is: 11,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.79 : 35,371.71 = 7,785.49 : x
  2. Step 2: Convert to fraction form
    23,578.79/35,371.71 = 7,785.49/x
  3. Step 3: Cross multiply
    23,578.79x = 35,371.71 × 7,785.49
  4. Step 4: Simplify right side
    23,578.79x = 275,386,144.49
  5. Step 5: Solve for x
    x = 275,386,144.49/23,578.79
  6. Step 6: Final answer
    x = 11,679.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.