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Finding the Fourth Proportional to 1,567.69, 2,163.41 and 869.07

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Solution

The fourth proportional to 1,567.69, 2,163.41 and 869.07 is: 1,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.69 : 2,163.41 = 869.07 : x
  2. Step 2: Convert to fraction form
    1,567.69/2,163.41 = 869.07/x
  3. Step 3: Cross multiply
    1,567.69x = 2,163.41 × 869.07
  4. Step 4: Simplify right side
    1,567.69x = 1,880,154.73
  5. Step 5: Solve for x
    x = 1,880,154.73/1,567.69
  6. Step 6: Final answer
    x = 1,199.32

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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.