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Finding the Fourth Proportional to 2,140.80, 3,210.30 and 1,045.50

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Solution

The fourth proportional to 2,140.80, 3,210.30 and 1,045.50 is: 1,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,210.30 = 1,045.50 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,210.30 = 1,045.50/x
  3. Step 3: Cross multiply
    2,140.80x = 3,210.30 × 1,045.50
  4. Step 4: Simplify right side
    2,140.80x = 3,356,368.65
  5. Step 5: Solve for x
    x = 3,356,368.65/2,140.80
  6. Step 6: Final answer
    x = 1,567.81

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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.