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Finding the Fourth Proportional to 7,885.77, 10,871.05 and 6,204.26

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Solution

The fourth proportional to 7,885.77, 10,871.05 and 6,204.26 is: 8,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.77 : 10,871.05 = 6,204.26 : x
  2. Step 2: Convert to fraction form
    7,885.77/10,871.05 = 6,204.26/x
  3. Step 3: Cross multiply
    7,885.77x = 10,871.05 × 6,204.26
  4. Step 4: Simplify right side
    7,885.77x = 67,446,820.67
  5. Step 5: Solve for x
    x = 67,446,820.67/7,885.77
  6. Step 6: Final answer
    x = 8,552.98

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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.