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Finding the Fourth Proportional to 2,382.95, 3,288.68 and 1,335

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Solution

The fourth proportional to 2,382.95, 3,288.68 and 1,335 is: 1,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.95 : 3,288.68 = 1,335 : x
  2. Step 2: Convert to fraction form
    2,382.95/3,288.68 = 1,335/x
  3. Step 3: Cross multiply
    2,382.95x = 3,288.68 × 1,335
  4. Step 4: Simplify right side
    2,382.95x = 4,390,381.13
  5. Step 5: Solve for x
    x = 4,390,381.13/2,382.95
  6. Step 6: Final answer
    x = 1,842.42

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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.