Home / 2,032.08-3,047.80-645.23

Finding the Fourth Proportional to 2,032.08, 3,047.80 and 645.23

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Solution

The fourth proportional to 2,032.08, 3,047.80 and 645.23 is: 967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.08 : 3,047.80 = 645.23 : x
  2. Step 2: Convert to fraction form
    2,032.08/3,047.80 = 645.23/x
  3. Step 3: Cross multiply
    2,032.08x = 3,047.80 × 645.23
  4. Step 4: Simplify right side
    2,032.08x = 1,966,541.63
  5. Step 5: Solve for x
    x = 1,966,541.63/2,032.08
  6. Step 6: Final answer
    x = 967.75

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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.