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Finding the Fourth Proportional to 7,144.53, 10,754.05 and 6,465.34

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Solution

The fourth proportional to 7,144.53, 10,754.05 and 6,465.34 is: 9,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.53 : 10,754.05 = 6,465.34 : x
  2. Step 2: Convert to fraction form
    7,144.53/10,754.05 = 6,465.34/x
  3. Step 3: Cross multiply
    7,144.53x = 10,754.05 × 6,465.34
  4. Step 4: Simplify right side
    7,144.53x = 69,528,589.63
  5. Step 5: Solve for x
    x = 69,528,589.63/7,144.53
  6. Step 6: Final answer
    x = 9,731.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.