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Finding the Fourth Proportional to 21,702.72, 29,946.48 and 13,200.48

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Solution

The fourth proportional to 21,702.72, 29,946.48 and 13,200.48 is: 18,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.72 : 29,946.48 = 13,200.48 : x
  2. Step 2: Convert to fraction form
    21,702.72/29,946.48 = 13,200.48/x
  3. Step 3: Cross multiply
    21,702.72x = 29,946.48 × 13,200.48
  4. Step 4: Simplify right side
    21,702.72x = 395,307,910.31
  5. Step 5: Solve for x
    x = 395,307,910.31/21,702.72
  6. Step 6: Final answer
    x = 18,214.67

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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.