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Finding the Fourth Proportional to 16,287.78, 22,477.08 and 8,835.78

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Solution

The fourth proportional to 16,287.78, 22,477.08 and 8,835.78 is: 12,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.78 : 22,477.08 = 8,835.78 : x
  2. Step 2: Convert to fraction form
    16,287.78/22,477.08 = 8,835.78/x
  3. Step 3: Cross multiply
    16,287.78x = 22,477.08 × 8,835.78
  4. Step 4: Simplify right side
    16,287.78x = 198,602,533.92
  5. Step 5: Solve for x
    x = 198,602,533.92/16,287.78
  6. Step 6: Final answer
    x = 12,193.35

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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.