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Finding the Fourth Proportional to 14,065.84, 21,080.13 and 7,477.84

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Solution

The fourth proportional to 14,065.84, 21,080.13 and 7,477.84 is: 11,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.84 : 21,080.13 = 7,477.84 : x
  2. Step 2: Convert to fraction form
    14,065.84/21,080.13 = 7,477.84/x
  3. Step 3: Cross multiply
    14,065.84x = 21,080.13 × 7,477.84
  4. Step 4: Simplify right side
    14,065.84x = 157,633,839.32
  5. Step 5: Solve for x
    x = 157,633,839.32/14,065.84
  6. Step 6: Final answer
    x = 11,206.86

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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.