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Finding the Fourth Proportional to 8,172.77, 12,177.95 and 7,776.07

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Solution

The fourth proportional to 8,172.77, 12,177.95 and 7,776.07 is: 11,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.77 : 12,177.95 = 7,776.07 : x
  2. Step 2: Convert to fraction form
    8,172.77/12,177.95 = 7,776.07/x
  3. Step 3: Cross multiply
    8,172.77x = 12,177.95 × 7,776.07
  4. Step 4: Simplify right side
    8,172.77x = 94,696,522.33
  5. Step 5: Solve for x
    x = 94,696,522.33/8,172.77
  6. Step 6: Final answer
    x = 11,586.84

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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.