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Finding the Fourth Proportional to 25,509.90, 38,264.86 and 7,979.80

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Solution

The fourth proportional to 25,509.90, 38,264.86 and 7,979.80 is: 11,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.90 : 38,264.86 = 7,979.80 : x
  2. Step 2: Convert to fraction form
    25,509.90/38,264.86 = 7,979.80/x
  3. Step 3: Cross multiply
    25,509.90x = 38,264.86 × 7,979.80
  4. Step 4: Simplify right side
    25,509.90x = 305,345,929.83
  5. Step 5: Solve for x
    x = 305,345,929.83/25,509.90
  6. Step 6: Final answer
    x = 11,969.70

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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.