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Finding the Fourth Proportional to 3,146, 4,719.54 and 954.95

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Solution

The fourth proportional to 3,146, 4,719.54 and 954.95 is: 1,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 4,719.54 = 954.95 : x
  2. Step 2: Convert to fraction form
    3,146/4,719.54 = 954.95/x
  3. Step 3: Cross multiply
    3,146x = 4,719.54 × 954.95
  4. Step 4: Simplify right side
    3,146x = 4,506,924.72
  5. Step 5: Solve for x
    x = 4,506,924.72/3,146
  6. Step 6: Final answer
    x = 1,432.59

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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.