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Finding the Fourth Proportional to 8,570.96, 11,806.77 and 7,307.90

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Solution

The fourth proportional to 8,570.96, 11,806.77 and 7,307.90 is: 10,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.96 : 11,806.77 = 7,307.90 : x
  2. Step 2: Convert to fraction form
    8,570.96/11,806.77 = 7,307.90/x
  3. Step 3: Cross multiply
    8,570.96x = 11,806.77 × 7,307.90
  4. Step 4: Simplify right side
    8,570.96x = 86,282,694.48
  5. Step 5: Solve for x
    x = 86,282,694.48/8,570.96
  6. Step 6: Final answer
    x = 10,066.86

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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.