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Finding the Fourth Proportional to 8,569.98, 12,786.06 and 7,634.40

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Solution

The fourth proportional to 8,569.98, 12,786.06 and 7,634.40 is: 11,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.98 : 12,786.06 = 7,634.40 : x
  2. Step 2: Convert to fraction form
    8,569.98/12,786.06 = 7,634.40/x
  3. Step 3: Cross multiply
    8,569.98x = 12,786.06 × 7,634.40
  4. Step 4: Simplify right side
    8,569.98x = 97,613,896.46
  5. Step 5: Solve for x
    x = 97,613,896.46/8,569.98
  6. Step 6: Final answer
    x = 11,390.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.