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Finding the Fourth Proportional to 8,946.35, 12,334.22 and 7,700.77

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Solution

The fourth proportional to 8,946.35, 12,334.22 and 7,700.77 is: 10,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.35 : 12,334.22 = 7,700.77 : x
  2. Step 2: Convert to fraction form
    8,946.35/12,334.22 = 7,700.77/x
  3. Step 3: Cross multiply
    8,946.35x = 12,334.22 × 7,700.77
  4. Step 4: Simplify right side
    8,946.35x = 94,983,040.46
  5. Step 5: Solve for x
    x = 94,983,040.46/8,946.35
  6. Step 6: Final answer
    x = 10,616.96

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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.