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Finding the Fourth Proportional to 2,489.37, 3,734.06 and 929.50

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Solution

The fourth proportional to 2,489.37, 3,734.06 and 929.50 is: 1,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.37 : 3,734.06 = 929.50 : x
  2. Step 2: Convert to fraction form
    2,489.37/3,734.06 = 929.50/x
  3. Step 3: Cross multiply
    2,489.37x = 3,734.06 × 929.50
  4. Step 4: Simplify right side
    2,489.37x = 3,470,798.71
  5. Step 5: Solve for x
    x = 3,470,798.71/2,489.37
  6. Step 6: Final answer
    x = 1,394.25

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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.