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Finding the Fourth Proportional to 2,021.64, 3,032.43 and 653.64

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Solution

The fourth proportional to 2,021.64, 3,032.43 and 653.64 is: 980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.64 : 3,032.43 = 653.64 : x
  2. Step 2: Convert to fraction form
    2,021.64/3,032.43 = 653.64/x
  3. Step 3: Cross multiply
    2,021.64x = 3,032.43 × 653.64
  4. Step 4: Simplify right side
    2,021.64x = 1,982,117.55
  5. Step 5: Solve for x
    x = 1,982,117.55/2,021.64
  6. Step 6: Final answer
    x = 980.45

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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.