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Finding the Fourth Proportional to 1,214.08, 1,818.24 and 1,024

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Solution

The fourth proportional to 1,214.08, 1,818.24 and 1,024 is: 1,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.08 : 1,818.24 = 1,024 : x
  2. Step 2: Convert to fraction form
    1,214.08/1,818.24 = 1,024/x
  3. Step 3: Cross multiply
    1,214.08x = 1,818.24 × 1,024
  4. Step 4: Simplify right side
    1,214.08x = 1,861,877.76
  5. Step 5: Solve for x
    x = 1,861,877.76/1,214.08
  6. Step 6: Final answer
    x = 1,533.57

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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.