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Finding the Fourth Proportional to 8,578.68, 11,827.74 and 7,301.28

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Solution

The fourth proportional to 8,578.68, 11,827.74 and 7,301.28 is: 10,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.68 : 11,827.74 = 7,301.28 : x
  2. Step 2: Convert to fraction form
    8,578.68/11,827.74 = 7,301.28/x
  3. Step 3: Cross multiply
    8,578.68x = 11,827.74 × 7,301.28
  4. Step 4: Simplify right side
    8,578.68x = 86,357,641.51
  5. Step 5: Solve for x
    x = 86,357,641.51/8,578.68
  6. Step 6: Final answer
    x = 10,066.54

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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.