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Finding the Fourth Proportional to 19,666.84, 27,127.84 and 11,703.12

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Solution

The fourth proportional to 19,666.84, 27,127.84 and 11,703.12 is: 16,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.84 : 27,127.84 = 11,703.12 : x
  2. Step 2: Convert to fraction form
    19,666.84/27,127.84 = 11,703.12/x
  3. Step 3: Cross multiply
    19,666.84x = 27,127.84 × 11,703.12
  4. Step 4: Simplify right side
    19,666.84x = 317,480,366.86
  5. Step 5: Solve for x
    x = 317,480,366.86/19,666.84
  6. Step 6: Final answer
    x = 16,142.93

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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.