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Finding the Fourth Proportional to 4,860, 6,705.72 and 2,870.64

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Solution

The fourth proportional to 4,860, 6,705.72 and 2,870.64 is: 3,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 6,705.72 = 2,870.64 : x
  2. Step 2: Convert to fraction form
    4,860/6,705.72 = 2,870.64/x
  3. Step 3: Cross multiply
    4,860x = 6,705.72 × 2,870.64
  4. Step 4: Simplify right side
    4,860x = 19,249,708.06
  5. Step 5: Solve for x
    x = 19,249,708.06/4,860
  6. Step 6: Final answer
    x = 3,960.85

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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.