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Finding the Fourth Proportional to 2,655.90, 3,983.22 and 924.48

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Solution

The fourth proportional to 2,655.90, 3,983.22 and 924.48 is: 1,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.90 : 3,983.22 = 924.48 : x
  2. Step 2: Convert to fraction form
    2,655.90/3,983.22 = 924.48/x
  3. Step 3: Cross multiply
    2,655.90x = 3,983.22 × 924.48
  4. Step 4: Simplify right side
    2,655.90x = 3,682,407.23
  5. Step 5: Solve for x
    x = 3,682,407.23/2,655.90
  6. Step 6: Final answer
    x = 1,386.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.