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Finding the Fourth Proportional to 11,913.72, 17,841.30 and 9,820.92

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Solution

The fourth proportional to 11,913.72, 17,841.30 and 9,820.92 is: 14,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.72 : 17,841.30 = 9,820.92 : x
  2. Step 2: Convert to fraction form
    11,913.72/17,841.30 = 9,820.92/x
  3. Step 3: Cross multiply
    11,913.72x = 17,841.30 × 9,820.92
  4. Step 4: Simplify right side
    11,913.72x = 175,217,980.00
  5. Step 5: Solve for x
    x = 175,217,980.00/11,913.72
  6. Step 6: Final answer
    x = 14,707.24

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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.