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Finding the Fourth Proportional to 6,140.07, 9,210.69 and 1,978.97

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Solution

The fourth proportional to 6,140.07, 9,210.69 and 1,978.97 is: 2,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.07 : 9,210.69 = 1,978.97 : x
  2. Step 2: Convert to fraction form
    6,140.07/9,210.69 = 1,978.97/x
  3. Step 3: Cross multiply
    6,140.07x = 9,210.69 × 1,978.97
  4. Step 4: Simplify right side
    6,140.07x = 18,227,633.14
  5. Step 5: Solve for x
    x = 18,227,633.14/6,140.07
  6. Step 6: Final answer
    x = 2,968.64

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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.