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Finding the Fourth Proportional to 27,122.65, 40,689.79 and 13,797.50

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Solution

The fourth proportional to 27,122.65, 40,689.79 and 13,797.50 is: 20,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.65 : 40,689.79 = 13,797.50 : x
  2. Step 2: Convert to fraction form
    27,122.65/40,689.79 = 13,797.50/x
  3. Step 3: Cross multiply
    27,122.65x = 40,689.79 × 13,797.50
  4. Step 4: Simplify right side
    27,122.65x = 561,417,206.81
  5. Step 5: Solve for x
    x = 561,417,206.81/27,122.65
  6. Step 6: Final answer
    x = 20,699.20

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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.