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Finding the Fourth Proportional to 1,964.50, 2,711.14 and 1,136.50

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Solution

The fourth proportional to 1,964.50, 2,711.14 and 1,136.50 is: 1,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.50 : 2,711.14 = 1,136.50 : x
  2. Step 2: Convert to fraction form
    1,964.50/2,711.14 = 1,136.50/x
  3. Step 3: Cross multiply
    1,964.50x = 2,711.14 × 1,136.50
  4. Step 4: Simplify right side
    1,964.50x = 3,081,210.61
  5. Step 5: Solve for x
    x = 3,081,210.61/1,964.50
  6. Step 6: Final answer
    x = 1,568.45

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Half scale
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Double scale
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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.