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Finding the Fourth Proportional to 1,390.20, 1,917.03 and 1,124.38

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Solution

The fourth proportional to 1,390.20, 1,917.03 and 1,124.38 is: 1,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.20 : 1,917.03 = 1,124.38 : x
  2. Step 2: Convert to fraction form
    1,390.20/1,917.03 = 1,124.38/x
  3. Step 3: Cross multiply
    1,390.20x = 1,917.03 × 1,124.38
  4. Step 4: Simplify right side
    1,390.20x = 2,155,470.19
  5. Step 5: Solve for x
    x = 2,155,470.19/1,390.20
  6. Step 6: Final answer
    x = 1,550.47

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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.