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Finding the Fourth Proportional to 10,512.90, 15,774.75 and 7,005.42

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Solution

The fourth proportional to 10,512.90, 15,774.75 and 7,005.42 is: 10,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.90 : 15,774.75 = 7,005.42 : x
  2. Step 2: Convert to fraction form
    10,512.90/15,774.75 = 7,005.42/x
  3. Step 3: Cross multiply
    10,512.90x = 15,774.75 × 7,005.42
  4. Step 4: Simplify right side
    10,512.90x = 110,508,749.15
  5. Step 5: Solve for x
    x = 110,508,749.15/10,512.90
  6. Step 6: Final answer
    x = 10,511.73

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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.