Home / 1,530.03-2,111.43-831.40

Finding the Fourth Proportional to 1,530.03, 2,111.43 and 831.40

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Solution

The fourth proportional to 1,530.03, 2,111.43 and 831.40 is: 1,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.03 : 2,111.43 = 831.40 : x
  2. Step 2: Convert to fraction form
    1,530.03/2,111.43 = 831.40/x
  3. Step 3: Cross multiply
    1,530.03x = 2,111.43 × 831.40
  4. Step 4: Simplify right side
    1,530.03x = 1,755,442.90
  5. Step 5: Solve for x
    x = 1,755,442.90/1,530.03
  6. Step 6: Final answer
    x = 1,147.33

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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.