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Finding the Fourth Proportional to 2,651.76, 3,656.16 and 2,178

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Solution

The fourth proportional to 2,651.76, 3,656.16 and 2,178 is: 3,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.76 : 3,656.16 = 2,178 : x
  2. Step 2: Convert to fraction form
    2,651.76/3,656.16 = 2,178/x
  3. Step 3: Cross multiply
    2,651.76x = 3,656.16 × 2,178
  4. Step 4: Simplify right side
    2,651.76x = 7,963,116.48
  5. Step 5: Solve for x
    x = 7,963,116.48/2,651.76
  6. Step 6: Final answer
    x = 3,002.96

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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.