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Finding the Fourth Proportional to 20,412.78, 30,607.84 and 7,925.02

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Solution

The fourth proportional to 20,412.78, 30,607.84 and 7,925.02 is: 11,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.78 : 30,607.84 = 7,925.02 : x
  2. Step 2: Convert to fraction form
    20,412.78/30,607.84 = 7,925.02/x
  3. Step 3: Cross multiply
    20,412.78x = 30,607.84 × 7,925.02
  4. Step 4: Simplify right side
    20,412.78x = 242,567,744.16
  5. Step 5: Solve for x
    x = 242,567,744.16/20,412.78
  6. Step 6: Final answer
    x = 11,883.13

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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.