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Finding the Fourth Proportional to 8,412.93, 11,621.63 and 7,970.07

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Solution

The fourth proportional to 8,412.93, 11,621.63 and 7,970.07 is: 11,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.93 : 11,621.63 = 7,970.07 : x
  2. Step 2: Convert to fraction form
    8,412.93/11,621.63 = 7,970.07/x
  3. Step 3: Cross multiply
    8,412.93x = 11,621.63 × 7,970.07
  4. Step 4: Simplify right side
    8,412.93x = 92,625,164.76
  5. Step 5: Solve for x
    x = 92,625,164.76/8,412.93
  6. Step 6: Final answer
    x = 11,009.86

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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.