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Finding the Fourth Proportional to 3,048.84, 4,572.30 and 1,317

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Solution

The fourth proportional to 3,048.84, 4,572.30 and 1,317 is: 1,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.84 : 4,572.30 = 1,317 : x
  2. Step 2: Convert to fraction form
    3,048.84/4,572.30 = 1,317/x
  3. Step 3: Cross multiply
    3,048.84x = 4,572.30 × 1,317
  4. Step 4: Simplify right side
    3,048.84x = 6,021,719.10
  5. Step 5: Solve for x
    x = 6,021,719.10/3,048.84
  6. Step 6: Final answer
    x = 1,975.09

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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.