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Finding the Fourth Proportional to 2,008.99, 3,014.30 and 913.87

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Solution

The fourth proportional to 2,008.99, 3,014.30 and 913.87 is: 1,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.99 : 3,014.30 = 913.87 : x
  2. Step 2: Convert to fraction form
    2,008.99/3,014.30 = 913.87/x
  3. Step 3: Cross multiply
    2,008.99x = 3,014.30 × 913.87
  4. Step 4: Simplify right side
    2,008.99x = 2,754,678.34
  5. Step 5: Solve for x
    x = 2,754,678.34/2,008.99
  6. Step 6: Final answer
    x = 1,371.18

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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.