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Finding the Fourth Proportional to 5,146.71, 7,719.55 and 1,448.85

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Solution

The fourth proportional to 5,146.71, 7,719.55 and 1,448.85 is: 2,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.71 : 7,719.55 = 1,448.85 : x
  2. Step 2: Convert to fraction form
    5,146.71/7,719.55 = 1,448.85/x
  3. Step 3: Cross multiply
    5,146.71x = 7,719.55 × 1,448.85
  4. Step 4: Simplify right side
    5,146.71x = 11,184,462.77
  5. Step 5: Solve for x
    x = 11,184,462.77/5,146.71
  6. Step 6: Final answer
    x = 2,173.13

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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.