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Finding the Fourth Proportional to 11,473.72, 15,838.98 and 8,820.20

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Solution

The fourth proportional to 11,473.72, 15,838.98 and 8,820.20 is: 12,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.72 : 15,838.98 = 8,820.20 : x
  2. Step 2: Convert to fraction form
    11,473.72/15,838.98 = 8,820.20/x
  3. Step 3: Cross multiply
    11,473.72x = 15,838.98 × 8,820.20
  4. Step 4: Simplify right side
    11,473.72x = 139,702,971.40
  5. Step 5: Solve for x
    x = 139,702,971.40/11,473.72
  6. Step 6: Final answer
    x = 12,175.91

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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.