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Finding the Fourth Proportional to 7,176.64, 10,767.12 and 2,560

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Solution

The fourth proportional to 7,176.64, 10,767.12 and 2,560 is: 3,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.64 : 10,767.12 = 2,560 : x
  2. Step 2: Convert to fraction form
    7,176.64/10,767.12 = 2,560/x
  3. Step 3: Cross multiply
    7,176.64x = 10,767.12 × 2,560
  4. Step 4: Simplify right side
    7,176.64x = 27,563,827.20
  5. Step 5: Solve for x
    x = 27,563,827.20/7,176.64
  6. Step 6: Final answer
    x = 3,840.77

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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.