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Finding the Fourth Proportional to 2,386.76, 3,579.73 and 631.78

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Solution

The fourth proportional to 2,386.76, 3,579.73 and 631.78 is: 947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.76 : 3,579.73 = 631.78 : x
  2. Step 2: Convert to fraction form
    2,386.76/3,579.73 = 631.78/x
  3. Step 3: Cross multiply
    2,386.76x = 3,579.73 × 631.78
  4. Step 4: Simplify right side
    2,386.76x = 2,261,601.82
  5. Step 5: Solve for x
    x = 2,261,601.82/2,386.76
  6. Step 6: Final answer
    x = 947.56

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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.