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Finding the Fourth Proportional to 2,638.48, 3,952.80 and 2,368

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Solution

The fourth proportional to 2,638.48, 3,952.80 and 2,368 is: 3,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.48 : 3,952.80 = 2,368 : x
  2. Step 2: Convert to fraction form
    2,638.48/3,952.80 = 2,368/x
  3. Step 3: Cross multiply
    2,638.48x = 3,952.80 × 2,368
  4. Step 4: Simplify right side
    2,638.48x = 9,360,230.40
  5. Step 5: Solve for x
    x = 9,360,230.40/2,638.48
  6. Step 6: Final answer
    x = 3,547.58

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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.