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Finding the Fourth Proportional to 13,101.67, 18,101.51 and 9,140.47

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Solution

The fourth proportional to 13,101.67, 18,101.51 and 9,140.47 is: 12,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.67 : 18,101.51 = 9,140.47 : x
  2. Step 2: Convert to fraction form
    13,101.67/18,101.51 = 9,140.47/x
  3. Step 3: Cross multiply
    13,101.67x = 18,101.51 × 9,140.47
  4. Step 4: Simplify right side
    13,101.67x = 165,456,172.90
  5. Step 5: Solve for x
    x = 165,456,172.90/13,101.67
  6. Step 6: Final answer
    x = 12,628.63

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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.