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Finding the Fourth Proportional to 15,544.23, 21,451 and 8,470.64

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Solution

The fourth proportional to 15,544.23, 21,451 and 8,470.64 is: 11,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544.23 : 21,451 = 8,470.64 : x
  2. Step 2: Convert to fraction form
    15,544.23/21,451 = 8,470.64/x
  3. Step 3: Cross multiply
    15,544.23x = 21,451 × 8,470.64
  4. Step 4: Simplify right side
    15,544.23x = 181,703,698.64
  5. Step 5: Solve for x
    x = 181,703,698.64/15,544.23
  6. Step 6: Final answer
    x = 11,689.46

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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.