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Finding the Fourth Proportional to 26,649, 39,970.67 and 14,155.76

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Solution

The fourth proportional to 26,649, 39,970.67 and 14,155.76 is: 21,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649 : 39,970.67 = 14,155.76 : x
  2. Step 2: Convert to fraction form
    26,649/39,970.67 = 14,155.76/x
  3. Step 3: Cross multiply
    26,649x = 39,970.67 × 14,155.76
  4. Step 4: Simplify right side
    26,649x = 565,815,240.71
  5. Step 5: Solve for x
    x = 565,815,240.71/26,649
  6. Step 6: Final answer
    x = 21,232.14

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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.