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Finding the Fourth Proportional to 11,393.10, 15,699.14 and 8,404.20

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Solution

The fourth proportional to 11,393.10, 15,699.14 and 8,404.20 is: 11,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.10 : 15,699.14 = 8,404.20 : x
  2. Step 2: Convert to fraction form
    11,393.10/15,699.14 = 8,404.20/x
  3. Step 3: Cross multiply
    11,393.10x = 15,699.14 × 8,404.20
  4. Step 4: Simplify right side
    11,393.10x = 131,938,712.39
  5. Step 5: Solve for x
    x = 131,938,712.39/11,393.10
  6. Step 6: Final answer
    x = 11,580.58

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1.5x scale

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.