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Finding the Fourth Proportional to 2,140.62, 3,210.93 and 580.63

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Solution

The fourth proportional to 2,140.62, 3,210.93 and 580.63 is: 870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.62 : 3,210.93 = 580.63 : x
  2. Step 2: Convert to fraction form
    2,140.62/3,210.93 = 580.63/x
  3. Step 3: Cross multiply
    2,140.62x = 3,210.93 × 580.63
  4. Step 4: Simplify right side
    2,140.62x = 1,864,362.29
  5. Step 5: Solve for x
    x = 1,864,362.29/2,140.62
  6. Step 6: Final answer
    x = 870.95

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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.