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Finding the Fourth Proportional to 6,140.54, 9,210.79 and 1,758

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Solution

The fourth proportional to 6,140.54, 9,210.79 and 1,758 is: 2,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.54 : 9,210.79 = 1,758 : x
  2. Step 2: Convert to fraction form
    6,140.54/9,210.79 = 1,758/x
  3. Step 3: Cross multiply
    6,140.54x = 9,210.79 × 1,758
  4. Step 4: Simplify right side
    6,140.54x = 16,192,566.62
  5. Step 5: Solve for x
    x = 16,192,566.62/6,140.54
  6. Step 6: Final answer
    x = 2,636.99

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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.