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Finding the Fourth Proportional to 9,999.78, 15,002.10 and 3,429.06

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Solution

The fourth proportional to 9,999.78, 15,002.10 and 3,429.06 is: 5,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.78 : 15,002.10 = 3,429.06 : x
  2. Step 2: Convert to fraction form
    9,999.78/15,002.10 = 3,429.06/x
  3. Step 3: Cross multiply
    9,999.78x = 15,002.10 × 3,429.06
  4. Step 4: Simplify right side
    9,999.78x = 51,443,101.03
  5. Step 5: Solve for x
    x = 51,443,101.03/9,999.78
  6. Step 6: Final answer
    x = 5,144.42

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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.