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Finding the Fourth Proportional to 4,870.16, 6,720.84 and 2,774.24

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Solution

The fourth proportional to 4,870.16, 6,720.84 and 2,774.24 is: 3,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.16 : 6,720.84 = 2,774.24 : x
  2. Step 2: Convert to fraction form
    4,870.16/6,720.84 = 2,774.24/x
  3. Step 3: Cross multiply
    4,870.16x = 6,720.84 × 2,774.24
  4. Step 4: Simplify right side
    4,870.16x = 18,645,223.16
  5. Step 5: Solve for x
    x = 18,645,223.16/4,870.16
  6. Step 6: Final answer
    x = 3,828.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.