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Finding the Fourth Proportional to 2,269.50, 3,131.12 and 1,484

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Solution

The fourth proportional to 2,269.50, 3,131.12 and 1,484 is: 2,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.50 : 3,131.12 = 1,484 : x
  2. Step 2: Convert to fraction form
    2,269.50/3,131.12 = 1,484/x
  3. Step 3: Cross multiply
    2,269.50x = 3,131.12 × 1,484
  4. Step 4: Simplify right side
    2,269.50x = 4,646,582.08
  5. Step 5: Solve for x
    x = 4,646,582.08/2,269.50
  6. Step 6: Final answer
    x = 2,047.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.