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Finding the Fourth Proportional to 22,509.51, 31,063 and 12,438.65

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Solution

The fourth proportional to 22,509.51, 31,063 and 12,438.65 is: 17,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.51 : 31,063 = 12,438.65 : x
  2. Step 2: Convert to fraction form
    22,509.51/31,063 = 12,438.65/x
  3. Step 3: Cross multiply
    22,509.51x = 31,063 × 12,438.65
  4. Step 4: Simplify right side
    22,509.51x = 386,381,784.95
  5. Step 5: Solve for x
    x = 386,381,784.95/22,509.51
  6. Step 6: Final answer
    x = 17,165.27

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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.