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Finding the Fourth Proportional to 4,860, 7,287.57 and 1,937.52

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Solution

The fourth proportional to 4,860, 7,287.57 and 1,937.52 is: 2,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 7,287.57 = 1,937.52 : x
  2. Step 2: Convert to fraction form
    4,860/7,287.57 = 1,937.52/x
  3. Step 3: Cross multiply
    4,860x = 7,287.57 × 1,937.52
  4. Step 4: Simplify right side
    4,860x = 14,119,812.63
  5. Step 5: Solve for x
    x = 14,119,812.63/4,860
  6. Step 6: Final answer
    x = 2,905.31

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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.