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Finding the Fourth Proportional to 10,402.53, 15,590.30 and 7,928.25

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Solution

The fourth proportional to 10,402.53, 15,590.30 and 7,928.25 is: 11,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.53 : 15,590.30 = 7,928.25 : x
  2. Step 2: Convert to fraction form
    10,402.53/15,590.30 = 7,928.25/x
  3. Step 3: Cross multiply
    10,402.53x = 15,590.30 × 7,928.25
  4. Step 4: Simplify right side
    10,402.53x = 123,603,756.33
  5. Step 5: Solve for x
    x = 123,603,756.33/10,402.53
  6. Step 6: Final answer
    x = 11,882.09

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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.