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Finding the Fourth Proportional to 7,010.61, 9,674.60 and 3,866.80

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Solution

The fourth proportional to 7,010.61, 9,674.60 and 3,866.80 is: 5,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.61 : 9,674.60 = 3,866.80 : x
  2. Step 2: Convert to fraction form
    7,010.61/9,674.60 = 3,866.80/x
  3. Step 3: Cross multiply
    7,010.61x = 9,674.60 × 3,866.80
  4. Step 4: Simplify right side
    7,010.61x = 37,409,743.28
  5. Step 5: Solve for x
    x = 37,409,743.28/7,010.61
  6. Step 6: Final answer
    x = 5,336.16

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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.