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Finding the Fourth Proportional to 1,762.37, 2,641.54 and 836.62

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Solution

The fourth proportional to 1,762.37, 2,641.54 and 836.62 is: 1,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.37 : 2,641.54 = 836.62 : x
  2. Step 2: Convert to fraction form
    1,762.37/2,641.54 = 836.62/x
  3. Step 3: Cross multiply
    1,762.37x = 2,641.54 × 836.62
  4. Step 4: Simplify right side
    1,762.37x = 2,209,965.19
  5. Step 5: Solve for x
    x = 2,209,965.19/1,762.37
  6. Step 6: Final answer
    x = 1,253.97

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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.