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Finding the Fourth Proportional to 4,749, 7,120.74 and 1,972.50

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Solution

The fourth proportional to 4,749, 7,120.74 and 1,972.50 is: 2,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 7,120.74 = 1,972.50 : x
  2. Step 2: Convert to fraction form
    4,749/7,120.74 = 1,972.50/x
  3. Step 3: Cross multiply
    4,749x = 7,120.74 × 1,972.50
  4. Step 4: Simplify right side
    4,749x = 14,045,659.65
  5. Step 5: Solve for x
    x = 14,045,659.65/4,749
  6. Step 6: Final answer
    x = 2,957.60

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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.