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Finding the Fourth Proportional to 15,708.75, 21,678.12 and 8,994.48

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Solution

The fourth proportional to 15,708.75, 21,678.12 and 8,994.48 is: 12,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.75 : 21,678.12 = 8,994.48 : x
  2. Step 2: Convert to fraction form
    15,708.75/21,678.12 = 8,994.48/x
  3. Step 3: Cross multiply
    15,708.75x = 21,678.12 × 8,994.48
  4. Step 4: Simplify right side
    15,708.75x = 194,983,416.78
  5. Step 5: Solve for x
    x = 194,983,416.78/15,708.75
  6. Step 6: Final answer
    x = 12,412.41

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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.