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Finding the Fourth Proportional to 13,126.53, 18,113.96 and 7,460.53

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Solution

The fourth proportional to 13,126.53, 18,113.96 and 7,460.53 is: 10,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.53 : 18,113.96 = 7,460.53 : x
  2. Step 2: Convert to fraction form
    13,126.53/18,113.96 = 7,460.53/x
  3. Step 3: Cross multiply
    13,126.53x = 18,113.96 × 7,460.53
  4. Step 4: Simplify right side
    13,126.53x = 135,139,817.26
  5. Step 5: Solve for x
    x = 135,139,817.26/13,126.53
  6. Step 6: Final answer
    x = 10,295.16

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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.