Home / 1,530.50-2,112.08-831.87

Finding the Fourth Proportional to 1,530.50, 2,112.08 and 831.87

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Solution

The fourth proportional to 1,530.50, 2,112.08 and 831.87 is: 1,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.50 : 2,112.08 = 831.87 : x
  2. Step 2: Convert to fraction form
    1,530.50/2,112.08 = 831.87/x
  3. Step 3: Cross multiply
    1,530.50x = 2,112.08 × 831.87
  4. Step 4: Simplify right side
    1,530.50x = 1,756,975.99
  5. Step 5: Solve for x
    x = 1,756,975.99/1,530.50
  6. Step 6: Final answer
    x = 1,147.98

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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.