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Finding the Fourth Proportional to 16,983.27, 25,478.64 and 7,117.47

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Solution

The fourth proportional to 16,983.27, 25,478.64 and 7,117.47 is: 10,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.27 : 25,478.64 = 7,117.47 : x
  2. Step 2: Convert to fraction form
    16,983.27/25,478.64 = 7,117.47/x
  3. Step 3: Cross multiply
    16,983.27x = 25,478.64 × 7,117.47
  4. Step 4: Simplify right side
    16,983.27x = 181,343,455.84
  5. Step 5: Solve for x
    x = 181,343,455.84/16,983.27
  6. Step 6: Final answer
    x = 10,677.77

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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.