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Finding the Fourth Proportional to 7,970.71, 10,999.94 and 6,642.19

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Solution

The fourth proportional to 7,970.71, 10,999.94 and 6,642.19 is: 9,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.71 : 10,999.94 = 6,642.19 : x
  2. Step 2: Convert to fraction form
    7,970.71/10,999.94 = 6,642.19/x
  3. Step 3: Cross multiply
    7,970.71x = 10,999.94 × 6,642.19
  4. Step 4: Simplify right side
    7,970.71x = 73,063,658.26
  5. Step 5: Solve for x
    x = 73,063,658.26/7,970.71
  6. Step 6: Final answer
    x = 9,166.52

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Double scale
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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.