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Finding the Fourth Proportional to 12,325.70, 17,008.14 and 7,290.10

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Solution

The fourth proportional to 12,325.70, 17,008.14 and 7,290.10 is: 10,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.70 : 17,008.14 = 7,290.10 : x
  2. Step 2: Convert to fraction form
    12,325.70/17,008.14 = 7,290.10/x
  3. Step 3: Cross multiply
    12,325.70x = 17,008.14 × 7,290.10
  4. Step 4: Simplify right side
    12,325.70x = 123,991,041.41
  5. Step 5: Solve for x
    x = 123,991,041.41/12,325.70
  6. Step 6: Final answer
    x = 10,059.55

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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.