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Finding the Fourth Proportional to 16,420.66, 22,661.06 and 9,712.04

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Solution

The fourth proportional to 16,420.66, 22,661.06 and 9,712.04 is: 13,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.66 : 22,661.06 = 9,712.04 : x
  2. Step 2: Convert to fraction form
    16,420.66/22,661.06 = 9,712.04/x
  3. Step 3: Cross multiply
    16,420.66x = 22,661.06 × 9,712.04
  4. Step 4: Simplify right side
    16,420.66x = 220,085,032.14
  5. Step 5: Solve for x
    x = 220,085,032.14/16,420.66
  6. Step 6: Final answer
    x = 13,402.94

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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.