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Finding the Fourth Proportional to 1,316.21, 1,974.15 and 1,024.00

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Solution

The fourth proportional to 1,316.21, 1,974.15 and 1,024.00 is: 1,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.21 : 1,974.15 = 1,024.00 : x
  2. Step 2: Convert to fraction form
    1,316.21/1,974.15 = 1,024.00/x
  3. Step 3: Cross multiply
    1,316.21x = 1,974.15 × 1,024.00
  4. Step 4: Simplify right side
    1,316.21x = 2,021,524.66
  5. Step 5: Solve for x
    x = 2,021,524.66/1,316.21
  6. Step 6: Final answer
    x = 1,535.87

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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.