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Finding the Fourth Proportional to 2,140.19, 3,210.49 and 580.22

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Solution

The fourth proportional to 2,140.19, 3,210.49 and 580.22 is: 870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.19 : 3,210.49 = 580.22 : x
  2. Step 2: Convert to fraction form
    2,140.19/3,210.49 = 580.22/x
  3. Step 3: Cross multiply
    2,140.19x = 3,210.49 × 580.22
  4. Step 4: Simplify right side
    2,140.19x = 1,862,774.46
  5. Step 5: Solve for x
    x = 1,862,774.46/2,140.19
  6. Step 6: Final answer
    x = 870.38

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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.