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Finding the Fourth Proportional to 21,726.34, 32,605.05 and 9,255.10

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Solution

The fourth proportional to 21,726.34, 32,605.05 and 9,255.10 is: 13,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.34 : 32,605.05 = 9,255.10 : x
  2. Step 2: Convert to fraction form
    21,726.34/32,605.05 = 9,255.10/x
  3. Step 3: Cross multiply
    21,726.34x = 32,605.05 × 9,255.10
  4. Step 4: Simplify right side
    21,726.34x = 301,762,998.26
  5. Step 5: Solve for x
    x = 301,762,998.26/21,726.34
  6. Step 6: Final answer
    x = 13,889.27

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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.