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Finding the Fourth Proportional to 10,403.76, 14,351.16 and 7,086

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Solution

The fourth proportional to 10,403.76, 14,351.16 and 7,086 is: 9,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.76 : 14,351.16 = 7,086 : x
  2. Step 2: Convert to fraction form
    10,403.76/14,351.16 = 7,086/x
  3. Step 3: Cross multiply
    10,403.76x = 14,351.16 × 7,086
  4. Step 4: Simplify right side
    10,403.76x = 101,692,319.76
  5. Step 5: Solve for x
    x = 101,692,319.76/10,403.76
  6. Step 6: Final answer
    x = 9,774.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.