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Finding the Fourth Proportional to 4,762.74, 7,142.88 and 1,642.62

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Solution

The fourth proportional to 4,762.74, 7,142.88 and 1,642.62 is: 2,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 7,142.88 = 1,642.62 : x
  2. Step 2: Convert to fraction form
    4,762.74/7,142.88 = 1,642.62/x
  3. Step 3: Cross multiply
    4,762.74x = 7,142.88 × 1,642.62
  4. Step 4: Simplify right side
    4,762.74x = 11,733,037.55
  5. Step 5: Solve for x
    x = 11,733,037.55/4,762.74
  6. Step 6: Final answer
    x = 2,463.51

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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.