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Finding the Fourth Proportional to 1,629.15, 2,248.38 and 921.15

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Solution

The fourth proportional to 1,629.15, 2,248.38 and 921.15 is: 1,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.15 : 2,248.38 = 921.15 : x
  2. Step 2: Convert to fraction form
    1,629.15/2,248.38 = 921.15/x
  3. Step 3: Cross multiply
    1,629.15x = 2,248.38 × 921.15
  4. Step 4: Simplify right side
    1,629.15x = 2,071,095.24
  5. Step 5: Solve for x
    x = 2,071,095.24/1,629.15
  6. Step 6: Final answer
    x = 1,271.27

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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.