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Finding the Fourth Proportional to 10,603.50, 15,902.22 and 4,278.42

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Solution

The fourth proportional to 10,603.50, 15,902.22 and 4,278.42 is: 6,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.50 : 15,902.22 = 4,278.42 : x
  2. Step 2: Convert to fraction form
    10,603.50/15,902.22 = 4,278.42/x
  3. Step 3: Cross multiply
    10,603.50x = 15,902.22 × 4,278.42
  4. Step 4: Simplify right side
    10,603.50x = 68,036,376.09
  5. Step 5: Solve for x
    x = 68,036,376.09/10,603.50
  6. Step 6: Final answer
    x = 6,416.41

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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.