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Finding the Fourth Proportional to 2,390.64, 3,559.98 and 2,382

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Solution

The fourth proportional to 2,390.64, 3,559.98 and 2,382 is: 3,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.64 : 3,559.98 = 2,382 : x
  2. Step 2: Convert to fraction form
    2,390.64/3,559.98 = 2,382/x
  3. Step 3: Cross multiply
    2,390.64x = 3,559.98 × 2,382
  4. Step 4: Simplify right side
    2,390.64x = 8,479,872.36
  5. Step 5: Solve for x
    x = 8,479,872.36/2,390.64
  6. Step 6: Final answer
    x = 3,547.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.