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Finding the Fourth Proportional to 12,431.00, 17,154.63 and 7,395.10

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Solution

The fourth proportional to 12,431.00, 17,154.63 and 7,395.10 is: 10,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.00 : 17,154.63 = 7,395.10 : x
  2. Step 2: Convert to fraction form
    12,431.00/17,154.63 = 7,395.10/x
  3. Step 3: Cross multiply
    12,431.00x = 17,154.63 × 7,395.10
  4. Step 4: Simplify right side
    12,431.00x = 126,860,161.43
  5. Step 5: Solve for x
    x = 126,860,161.43/12,431.00
  6. Step 6: Final answer
    x = 10,205.14

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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.