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Finding the Fourth Proportional to 4,870.64, 6,721.47 and 2,774.78

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Solution

The fourth proportional to 4,870.64, 6,721.47 and 2,774.78 is: 3,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.64 : 6,721.47 = 2,774.78 : x
  2. Step 2: Convert to fraction form
    4,870.64/6,721.47 = 2,774.78/x
  3. Step 3: Cross multiply
    4,870.64x = 6,721.47 × 2,774.78
  4. Step 4: Simplify right side
    4,870.64x = 18,650,600.53
  5. Step 5: Solve for x
    x = 18,650,600.53/4,870.64
  6. Step 6: Final answer
    x = 3,829.19

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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.