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Finding the Fourth Proportional to 6,139.36, 9,210.24 and 1,978.24

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Solution

The fourth proportional to 6,139.36, 9,210.24 and 1,978.24 is: 2,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.36 : 9,210.24 = 1,978.24 : x
  2. Step 2: Convert to fraction form
    6,139.36/9,210.24 = 1,978.24/x
  3. Step 3: Cross multiply
    6,139.36x = 9,210.24 × 1,978.24
  4. Step 4: Simplify right side
    6,139.36x = 18,220,065.18
  5. Step 5: Solve for x
    x = 18,220,065.18/6,139.36
  6. Step 6: Final answer
    x = 2,967.75

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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.