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Finding the Fourth Proportional to 7,145.88, 10,718.68 and 3,865.40

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Solution

The fourth proportional to 7,145.88, 10,718.68 and 3,865.40 is: 5,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.88 : 10,718.68 = 3,865.40 : x
  2. Step 2: Convert to fraction form
    7,145.88/10,718.68 = 3,865.40/x
  3. Step 3: Cross multiply
    7,145.88x = 10,718.68 × 3,865.40
  4. Step 4: Simplify right side
    7,145.88x = 41,431,985.67
  5. Step 5: Solve for x
    x = 41,431,985.67/7,145.88
  6. Step 6: Final answer
    x = 5,798.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.