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Finding the Fourth Proportional to 21,798.85, 32,695.16 and 7,005.87

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Solution

The fourth proportional to 21,798.85, 32,695.16 and 7,005.87 is: 10,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798.85 : 32,695.16 = 7,005.87 : x
  2. Step 2: Convert to fraction form
    21,798.85/32,695.16 = 7,005.87/x
  3. Step 3: Cross multiply
    21,798.85x = 32,695.16 × 7,005.87
  4. Step 4: Simplify right side
    21,798.85x = 229,058,040.59
  5. Step 5: Solve for x
    x = 229,058,040.59/21,798.85
  6. Step 6: Final answer
    x = 10,507.80

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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.