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Finding the Fourth Proportional to 8,914.32, 12,307.68 and 8,356.77

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Solution

The fourth proportional to 8,914.32, 12,307.68 and 8,356.77 is: 11,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.32 : 12,307.68 = 8,356.77 : x
  2. Step 2: Convert to fraction form
    8,914.32/12,307.68 = 8,356.77/x
  3. Step 3: Cross multiply
    8,914.32x = 12,307.68 × 8,356.77
  4. Step 4: Simplify right side
    8,914.32x = 102,852,450.99
  5. Step 5: Solve for x
    x = 102,852,450.99/8,914.32
  6. Step 6: Final answer
    x = 11,537.89

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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.