Home / 2,140.69-3,210.27-824.53

Finding the Fourth Proportional to 2,140.69, 3,210.27 and 824.53

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Solution

The fourth proportional to 2,140.69, 3,210.27 and 824.53 is: 1,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.69 : 3,210.27 = 824.53 : x
  2. Step 2: Convert to fraction form
    2,140.69/3,210.27 = 824.53/x
  3. Step 3: Cross multiply
    2,140.69x = 3,210.27 × 824.53
  4. Step 4: Simplify right side
    2,140.69x = 2,646,963.92
  5. Step 5: Solve for x
    x = 2,646,963.92/2,140.69
  6. Step 6: Final answer
    x = 1,236.50

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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.