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Finding the Fourth Proportional to 11,483.61, 17,198.07 and 7,977.12

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Solution

The fourth proportional to 11,483.61, 17,198.07 and 7,977.12 is: 11,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.61 : 17,198.07 = 7,977.12 : x
  2. Step 2: Convert to fraction form
    11,483.61/17,198.07 = 7,977.12/x
  3. Step 3: Cross multiply
    11,483.61x = 17,198.07 × 7,977.12
  4. Step 4: Simplify right side
    11,483.61x = 137,191,068.16
  5. Step 5: Solve for x
    x = 137,191,068.16/11,483.61
  6. Step 6: Final answer
    x = 11,946.68

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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.