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Finding the Fourth Proportional to 23,670.80, 35,498.90 and 7,872.50

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Solution

The fourth proportional to 23,670.80, 35,498.90 and 7,872.50 is: 11,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.80 : 35,498.90 = 7,872.50 : x
  2. Step 2: Convert to fraction form
    23,670.80/35,498.90 = 7,872.50/x
  3. Step 3: Cross multiply
    23,670.80x = 35,498.90 × 7,872.50
  4. Step 4: Simplify right side
    23,670.80x = 279,465,090.25
  5. Step 5: Solve for x
    x = 279,465,090.25/23,670.80
  6. Step 6: Final answer
    x = 11,806.32

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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.