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Finding the Fourth Proportional to 20,983, 28,956.56 and 11,552.28

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Solution

The fourth proportional to 20,983, 28,956.56 and 11,552.28 is: 15,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983 : 28,956.56 = 11,552.28 : x
  2. Step 2: Convert to fraction form
    20,983/28,956.56 = 11,552.28/x
  3. Step 3: Cross multiply
    20,983x = 28,956.56 × 11,552.28
  4. Step 4: Simplify right side
    20,983x = 334,514,288.96
  5. Step 5: Solve for x
    x = 334,514,288.96/20,983
  6. Step 6: Final answer
    x = 15,942.16

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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.