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Finding the Fourth Proportional to 1,509.69, 2,083.48 and 920.15

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Solution

The fourth proportional to 1,509.69, 2,083.48 and 920.15 is: 1,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.69 : 2,083.48 = 920.15 : x
  2. Step 2: Convert to fraction form
    1,509.69/2,083.48 = 920.15/x
  3. Step 3: Cross multiply
    1,509.69x = 2,083.48 × 920.15
  4. Step 4: Simplify right side
    1,509.69x = 1,917,101.40
  5. Step 5: Solve for x
    x = 1,917,101.40/1,509.69
  6. Step 6: Final answer
    x = 1,269.86

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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.