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Finding the Fourth Proportional to 7,144.77, 10,717.02 and 1,950.64

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Solution

The fourth proportional to 7,144.77, 10,717.02 and 1,950.64 is: 2,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.77 : 10,717.02 = 1,950.64 : x
  2. Step 2: Convert to fraction form
    7,144.77/10,717.02 = 1,950.64/x
  3. Step 3: Cross multiply
    7,144.77x = 10,717.02 × 1,950.64
  4. Step 4: Simplify right side
    7,144.77x = 20,905,047.89
  5. Step 5: Solve for x
    x = 20,905,047.89/7,144.77
  6. Step 6: Final answer
    x = 2,925.92

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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.