Home / 2,032.17-3,047.64-645.45

Finding the Fourth Proportional to 2,032.17, 3,047.64 and 645.45

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Solution

The fourth proportional to 2,032.17, 3,047.64 and 645.45 is: 967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.17 : 3,047.64 = 645.45 : x
  2. Step 2: Convert to fraction form
    2,032.17/3,047.64 = 645.45/x
  3. Step 3: Cross multiply
    2,032.17x = 3,047.64 × 645.45
  4. Step 4: Simplify right side
    2,032.17x = 1,967,099.24
  5. Step 5: Solve for x
    x = 1,967,099.24/2,032.17
  6. Step 6: Final answer
    x = 967.98

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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.