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Finding the Fourth Proportional to 8,599.83, 12,885.16 and 7,783.35

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Solution

The fourth proportional to 8,599.83, 12,885.16 and 7,783.35 is: 11,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.83 : 12,885.16 = 7,783.35 : x
  2. Step 2: Convert to fraction form
    8,599.83/12,885.16 = 7,783.35/x
  3. Step 3: Cross multiply
    8,599.83x = 12,885.16 × 7,783.35
  4. Step 4: Simplify right side
    8,599.83x = 100,289,710.09
  5. Step 5: Solve for x
    x = 100,289,710.09/8,599.83
  6. Step 6: Final answer
    x = 11,661.82

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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.