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Finding the Fourth Proportional to 5,663.18, 8,491.64 and 1,965.08

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Solution

The fourth proportional to 5,663.18, 8,491.64 and 1,965.08 is: 2,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.18 : 8,491.64 = 1,965.08 : x
  2. Step 2: Convert to fraction form
    5,663.18/8,491.64 = 1,965.08/x
  3. Step 3: Cross multiply
    5,663.18x = 8,491.64 × 1,965.08
  4. Step 4: Simplify right side
    5,663.18x = 16,686,751.93
  5. Step 5: Solve for x
    x = 16,686,751.93/5,663.18
  6. Step 6: Final answer
    x = 2,946.53

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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.