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Finding the Fourth Proportional to 21,970.86, 32,949.48 and 7,929.06

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Solution

The fourth proportional to 21,970.86, 32,949.48 and 7,929.06 is: 11,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.86 : 32,949.48 = 7,929.06 : x
  2. Step 2: Convert to fraction form
    21,970.86/32,949.48 = 7,929.06/x
  3. Step 3: Cross multiply
    21,970.86x = 32,949.48 × 7,929.06
  4. Step 4: Simplify right side
    21,970.86x = 261,258,403.89
  5. Step 5: Solve for x
    x = 261,258,403.89/21,970.86
  6. Step 6: Final answer
    x = 11,891.13

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1.5x scale

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.