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Finding the Fourth Proportional to 14,420.40, 19,900.14 and 8,132.77

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Solution

The fourth proportional to 14,420.40, 19,900.14 and 8,132.77 is: 11,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.40 : 19,900.14 = 8,132.77 : x
  2. Step 2: Convert to fraction form
    14,420.40/19,900.14 = 8,132.77/x
  3. Step 3: Cross multiply
    14,420.40x = 19,900.14 × 8,132.77
  4. Step 4: Simplify right side
    14,420.40x = 161,843,255.97
  5. Step 5: Solve for x
    x = 161,843,255.97/14,420.40
  6. Step 6: Final answer
    x = 11,223.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.