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Finding the Fourth Proportional to 9,007.72, 13,511.72 and 3,164.40

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Solution

The fourth proportional to 9,007.72, 13,511.72 and 3,164.40 is: 4,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.72 : 13,511.72 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    9,007.72/13,511.72 = 3,164.40/x
  3. Step 3: Cross multiply
    9,007.72x = 13,511.72 × 3,164.40
  4. Step 4: Simplify right side
    9,007.72x = 42,756,486.77
  5. Step 5: Solve for x
    x = 42,756,486.77/9,007.72
  6. Step 6: Final answer
    x = 4,746.65

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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.