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Finding the Fourth Proportional to 10,820.03, 14,927.64 and 7,994.21

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Solution

The fourth proportional to 10,820.03, 14,927.64 and 7,994.21 is: 11,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.03 : 14,927.64 = 7,994.21 : x
  2. Step 2: Convert to fraction form
    10,820.03/14,927.64 = 7,994.21/x
  3. Step 3: Cross multiply
    10,820.03x = 14,927.64 × 7,994.21
  4. Step 4: Simplify right side
    10,820.03x = 119,334,688.96
  5. Step 5: Solve for x
    x = 119,334,688.96/10,820.03
  6. Step 6: Final answer
    x = 11,029.05

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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.