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Finding the Fourth Proportional to 12,356.10, 17,031.60 and 9,699.03

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Solution

The fourth proportional to 12,356.10, 17,031.60 and 9,699.03 is: 13,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.10 : 17,031.60 = 9,699.03 : x
  2. Step 2: Convert to fraction form
    12,356.10/17,031.60 = 9,699.03/x
  3. Step 3: Cross multiply
    12,356.10x = 17,031.60 × 9,699.03
  4. Step 4: Simplify right side
    12,356.10x = 165,189,999.35
  5. Step 5: Solve for x
    x = 165,189,999.35/12,356.10
  6. Step 6: Final answer
    x = 13,369.11

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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.