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Finding the Fourth Proportional to 4,762.90, 7,143.81 and 1,642.78

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Solution

The fourth proportional to 4,762.90, 7,143.81 and 1,642.78 is: 2,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.90 : 7,143.81 = 1,642.78 : x
  2. Step 2: Convert to fraction form
    4,762.90/7,143.81 = 1,642.78/x
  3. Step 3: Cross multiply
    4,762.90x = 7,143.81 × 1,642.78
  4. Step 4: Simplify right side
    4,762.90x = 11,735,708.19
  5. Step 5: Solve for x
    x = 11,735,708.19/4,762.90
  6. Step 6: Final answer
    x = 2,463.98

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1.5x scale

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.