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Finding the Fourth Proportional to 10,021.14, 15,039 and 4,480.74

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Solution

The fourth proportional to 10,021.14, 15,039 and 4,480.74 is: 6,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.14 : 15,039 = 4,480.74 : x
  2. Step 2: Convert to fraction form
    10,021.14/15,039 = 4,480.74/x
  3. Step 3: Cross multiply
    10,021.14x = 15,039 × 4,480.74
  4. Step 4: Simplify right side
    10,021.14x = 67,385,848.86
  5. Step 5: Solve for x
    x = 67,385,848.86/10,021.14
  6. Step 6: Final answer
    x = 6,724.37

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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.