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Finding the Fourth Proportional to 16,511, 22,785.56 and 9,438.08

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Solution

The fourth proportional to 16,511, 22,785.56 and 9,438.08 is: 13,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511 : 22,785.56 = 9,438.08 : x
  2. Step 2: Convert to fraction form
    16,511/22,785.56 = 9,438.08/x
  3. Step 3: Cross multiply
    16,511x = 22,785.56 × 9,438.08
  4. Step 4: Simplify right side
    16,511x = 215,051,938.12
  5. Step 5: Solve for x
    x = 215,051,938.12/16,511
  6. Step 6: Final answer
    x = 13,024.77

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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.