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Finding the Fourth Proportional to 3,148.78, 4,723.14 and 957.50

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Solution

The fourth proportional to 3,148.78, 4,723.14 and 957.50 is: 1,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.78 : 4,723.14 = 957.50 : x
  2. Step 2: Convert to fraction form
    3,148.78/4,723.14 = 957.50/x
  3. Step 3: Cross multiply
    3,148.78x = 4,723.14 × 957.50
  4. Step 4: Simplify right side
    3,148.78x = 4,522,406.55
  5. Step 5: Solve for x
    x = 4,522,406.55/3,148.78
  6. Step 6: Final answer
    x = 1,436.24

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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.