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Finding the Fourth Proportional to 10,821, 14,937.84 and 7,994.10

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Solution

The fourth proportional to 10,821, 14,937.84 and 7,994.10 is: 11,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 14,937.84 = 7,994.10 : x
  2. Step 2: Convert to fraction form
    10,821/14,937.84 = 7,994.10/x
  3. Step 3: Cross multiply
    10,821x = 14,937.84 × 7,994.10
  4. Step 4: Simplify right side
    10,821x = 119,414,586.74
  5. Step 5: Solve for x
    x = 119,414,586.74/10,821
  6. Step 6: Final answer
    x = 11,035.45

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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.