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Finding the Fourth Proportional to 21,497.78, 29,678.07 and 16,707.02

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Solution

The fourth proportional to 21,497.78, 29,678.07 and 16,707.02 is: 23,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.78 : 29,678.07 = 16,707.02 : x
  2. Step 2: Convert to fraction form
    21,497.78/29,678.07 = 16,707.02/x
  3. Step 3: Cross multiply
    21,497.78x = 29,678.07 × 16,707.02
  4. Step 4: Simplify right side
    21,497.78x = 495,832,109.05
  5. Step 5: Solve for x
    x = 495,832,109.05/21,497.78
  6. Step 6: Final answer
    x = 23,064.34

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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.