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Finding the Fourth Proportional to 19,658.68, 27,128.13 and 10,706.20

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Solution

The fourth proportional to 19,658.68, 27,128.13 and 10,706.20 is: 14,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.68 : 27,128.13 = 10,706.20 : x
  2. Step 2: Convert to fraction form
    19,658.68/27,128.13 = 10,706.20/x
  3. Step 3: Cross multiply
    19,658.68x = 27,128.13 × 10,706.20
  4. Step 4: Simplify right side
    19,658.68x = 290,439,219.32
  5. Step 5: Solve for x
    x = 290,439,219.32/19,658.68
  6. Step 6: Final answer
    x = 14,774.10

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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.