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Finding the Fourth Proportional to 3,074.72, 4,587.76 and 2,888

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Solution

The fourth proportional to 3,074.72, 4,587.76 and 2,888 is: 4,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.72 : 4,587.76 = 2,888 : x
  2. Step 2: Convert to fraction form
    3,074.72/4,587.76 = 2,888/x
  3. Step 3: Cross multiply
    3,074.72x = 4,587.76 × 2,888
  4. Step 4: Simplify right side
    3,074.72x = 13,249,450.88
  5. Step 5: Solve for x
    x = 13,249,450.88/3,074.72
  6. Step 6: Final answer
    x = 4,309.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.