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Finding the Fourth Proportional to 1,569.90, 2,154.91 and 1,388.90

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Solution

The fourth proportional to 1,569.90, 2,154.91 and 1,388.90 is: 1,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.90 : 2,154.91 = 1,388.90 : x
  2. Step 2: Convert to fraction form
    1,569.90/2,154.91 = 1,388.90/x
  3. Step 3: Cross multiply
    1,569.90x = 2,154.91 × 1,388.90
  4. Step 4: Simplify right side
    1,569.90x = 2,992,947.55
  5. Step 5: Solve for x
    x = 2,992,947.55/1,569.90
  6. Step 6: Final answer
    x = 1,906.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.