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Finding the Fourth Proportional to 3,875.79, 5,813.62 and 954.12

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Solution

The fourth proportional to 3,875.79, 5,813.62 and 954.12 is: 1,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.79 : 5,813.62 = 954.12 : x
  2. Step 2: Convert to fraction form
    3,875.79/5,813.62 = 954.12/x
  3. Step 3: Cross multiply
    3,875.79x = 5,813.62 × 954.12
  4. Step 4: Simplify right side
    3,875.79x = 5,546,891.11
  5. Step 5: Solve for x
    x = 5,546,891.11/3,875.79
  6. Step 6: Final answer
    x = 1,431.16

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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.