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Finding the Fourth Proportional to 4,762.60, 7,140.90 and 1,991.20

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Solution

The fourth proportional to 4,762.60, 7,140.90 and 1,991.20 is: 2,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.60 : 7,140.90 = 1,991.20 : x
  2. Step 2: Convert to fraction form
    4,762.60/7,140.90 = 1,991.20/x
  3. Step 3: Cross multiply
    4,762.60x = 7,140.90 × 1,991.20
  4. Step 4: Simplify right side
    4,762.60x = 14,218,960.08
  5. Step 5: Solve for x
    x = 14,218,960.08/4,762.60
  6. Step 6: Final answer
    x = 2,985.55

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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.