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Finding the Fourth Proportional to 1,363.64, 1,881.50 and 1,165.19

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Solution

The fourth proportional to 1,363.64, 1,881.50 and 1,165.19 is: 1,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.64 : 1,881.50 = 1,165.19 : x
  2. Step 2: Convert to fraction form
    1,363.64/1,881.50 = 1,165.19/x
  3. Step 3: Cross multiply
    1,363.64x = 1,881.50 × 1,165.19
  4. Step 4: Simplify right side
    1,363.64x = 2,192,289.75
  5. Step 5: Solve for x
    x = 2,192,289.75/1,363.64
  6. Step 6: Final answer
    x = 1,607.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.