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Finding the Fourth Proportional to 8,402.77, 12,569.50 and 6,905.13

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Solution

The fourth proportional to 8,402.77, 12,569.50 and 6,905.13 is: 10,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.77 : 12,569.50 = 6,905.13 : x
  2. Step 2: Convert to fraction form
    8,402.77/12,569.50 = 6,905.13/x
  3. Step 3: Cross multiply
    8,402.77x = 12,569.50 × 6,905.13
  4. Step 4: Simplify right side
    8,402.77x = 86,794,031.54
  5. Step 5: Solve for x
    x = 86,794,031.54/8,402.77
  6. Step 6: Final answer
    x = 10,329.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.