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Finding the Fourth Proportional to 3,259.16, 4,889.96 and 1,505

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Solution

The fourth proportional to 3,259.16, 4,889.96 and 1,505 is: 2,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.16 : 4,889.96 = 1,505 : x
  2. Step 2: Convert to fraction form
    3,259.16/4,889.96 = 1,505/x
  3. Step 3: Cross multiply
    3,259.16x = 4,889.96 × 1,505
  4. Step 4: Simplify right side
    3,259.16x = 7,359,386.04
  5. Step 5: Solve for x
    x = 7,359,386.04/3,259.16
  6. Step 6: Final answer
    x = 2,258.07

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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.