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Finding the Fourth Proportional to 2,178.49, 3,267.74 and 535.02

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Solution

The fourth proportional to 2,178.49, 3,267.74 and 535.02 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.49 : 3,267.74 = 535.02 : x
  2. Step 2: Convert to fraction form
    2,178.49/3,267.74 = 535.02/x
  3. Step 3: Cross multiply
    2,178.49x = 3,267.74 × 535.02
  4. Step 4: Simplify right side
    2,178.49x = 1,748,306.25
  5. Step 5: Solve for x
    x = 1,748,306.25/2,178.49
  6. Step 6: Final answer
    x = 802.53

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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.