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Finding the Fourth Proportional to 21,293.60, 31,945.20 and 6,503.20

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Solution

The fourth proportional to 21,293.60, 31,945.20 and 6,503.20 is: 9,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.60 : 31,945.20 = 6,503.20 : x
  2. Step 2: Convert to fraction form
    21,293.60/31,945.20 = 6,503.20/x
  3. Step 3: Cross multiply
    21,293.60x = 31,945.20 × 6,503.20
  4. Step 4: Simplify right side
    21,293.60x = 207,746,024.64
  5. Step 5: Solve for x
    x = 207,746,024.64/21,293.60
  6. Step 6: Final answer
    x = 9,756.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.