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Finding the Fourth Proportional to 6,477.88, 9,721.08 and 2,780.86

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Solution

The fourth proportional to 6,477.88, 9,721.08 and 2,780.86 is: 4,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.88 : 9,721.08 = 2,780.86 : x
  2. Step 2: Convert to fraction form
    6,477.88/9,721.08 = 2,780.86/x
  3. Step 3: Cross multiply
    6,477.88x = 9,721.08 × 2,780.86
  4. Step 4: Simplify right side
    6,477.88x = 27,032,962.53
  5. Step 5: Solve for x
    x = 27,032,962.53/6,477.88
  6. Step 6: Final answer
    x = 4,173.12

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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.