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Finding the Fourth Proportional to 14,977.84, 20,669.15 and 8,264.11

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Solution

The fourth proportional to 14,977.84, 20,669.15 and 8,264.11 is: 11,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.84 : 20,669.15 = 8,264.11 : x
  2. Step 2: Convert to fraction form
    14,977.84/20,669.15 = 8,264.11/x
  3. Step 3: Cross multiply
    14,977.84x = 20,669.15 × 8,264.11
  4. Step 4: Simplify right side
    14,977.84x = 170,812,129.21
  5. Step 5: Solve for x
    x = 170,812,129.21/14,977.84
  6. Step 6: Final answer
    x = 11,404.32

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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.