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Finding the Fourth Proportional to 16,480, 22,742.40 and 9,856

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Solution

The fourth proportional to 16,480, 22,742.40 and 9,856 is: 13,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480 : 22,742.40 = 9,856 : x
  2. Step 2: Convert to fraction form
    16,480/22,742.40 = 9,856/x
  3. Step 3: Cross multiply
    16,480x = 22,742.40 × 9,856
  4. Step 4: Simplify right side
    16,480x = 224,149,094.40
  5. Step 5: Solve for x
    x = 224,149,094.40/16,480
  6. Step 6: Final answer
    x = 13,601.28

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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.