Home / 2,140.02-3,210.76-840.78

Finding the Fourth Proportional to 2,140.02, 3,210.76 and 840.78

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Solution

The fourth proportional to 2,140.02, 3,210.76 and 840.78 is: 1,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.02 : 3,210.76 = 840.78 : x
  2. Step 2: Convert to fraction form
    2,140.02/3,210.76 = 840.78/x
  3. Step 3: Cross multiply
    2,140.02x = 3,210.76 × 840.78
  4. Step 4: Simplify right side
    2,140.02x = 2,699,542.79
  5. Step 5: Solve for x
    x = 2,699,542.79/2,140.02
  6. Step 6: Final answer
    x = 1,261.46

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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.