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Finding the Fourth Proportional to 21,897.92, 32,848.32 and 7,856.48

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Solution

The fourth proportional to 21,897.92, 32,848.32 and 7,856.48 is: 11,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.92 : 32,848.32 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    21,897.92/32,848.32 = 7,856.48/x
  3. Step 3: Cross multiply
    21,897.92x = 32,848.32 × 7,856.48
  4. Step 4: Simplify right side
    21,897.92x = 258,072,169.11
  5. Step 5: Solve for x
    x = 258,072,169.11/21,897.92
  6. Step 6: Final answer
    x = 11,785.24

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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.