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Finding the Fourth Proportional to 2,842.60, 4,263.91 and 993.71

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Solution

The fourth proportional to 2,842.60, 4,263.91 and 993.71 is: 1,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.60 : 4,263.91 = 993.71 : x
  2. Step 2: Convert to fraction form
    2,842.60/4,263.91 = 993.71/x
  3. Step 3: Cross multiply
    2,842.60x = 4,263.91 × 993.71
  4. Step 4: Simplify right side
    2,842.60x = 4,237,068.69
  5. Step 5: Solve for x
    x = 4,237,068.69/2,842.60
  6. Step 6: Final answer
    x = 1,490.56

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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.