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Finding the Fourth Proportional to 6,980.77, 9,641.68 and 4,618.81

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Solution

The fourth proportional to 6,980.77, 9,641.68 and 4,618.81 is: 6,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.77 : 9,641.68 = 4,618.81 : x
  2. Step 2: Convert to fraction form
    6,980.77/9,641.68 = 4,618.81/x
  3. Step 3: Cross multiply
    6,980.77x = 9,641.68 × 4,618.81
  4. Step 4: Simplify right side
    6,980.77x = 44,533,060.25
  5. Step 5: Solve for x
    x = 44,533,060.25/6,980.77
  6. Step 6: Final answer
    x = 6,379.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.