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Finding the Fourth Proportional to 6,139.62, 9,210.89 and 1,980.02

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Solution

The fourth proportional to 6,139.62, 9,210.89 and 1,980.02 is: 2,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.62 : 9,210.89 = 1,980.02 : x
  2. Step 2: Convert to fraction form
    6,139.62/9,210.89 = 1,980.02/x
  3. Step 3: Cross multiply
    6,139.62x = 9,210.89 × 1,980.02
  4. Step 4: Simplify right side
    6,139.62x = 18,237,774.40
  5. Step 5: Solve for x
    x = 18,237,774.40/6,139.62
  6. Step 6: Final answer
    x = 2,970.51

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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.