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Finding the Fourth Proportional to 1,535.60, 2,118.91 and 906.15

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Solution

The fourth proportional to 1,535.60, 2,118.91 and 906.15 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.60 : 2,118.91 = 906.15 : x
  2. Step 2: Convert to fraction form
    1,535.60/2,118.91 = 906.15/x
  3. Step 3: Cross multiply
    1,535.60x = 2,118.91 × 906.15
  4. Step 4: Simplify right side
    1,535.60x = 1,920,058.31
  5. Step 5: Solve for x
    x = 1,920,058.31/1,535.60
  6. Step 6: Final answer
    x = 1,250.36

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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.