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Finding the Fourth Proportional to 10,820.12, 14,931.78 and 6,104.84

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Solution

The fourth proportional to 10,820.12, 14,931.78 and 6,104.84 is: 8,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.12 : 14,931.78 = 6,104.84 : x
  2. Step 2: Convert to fraction form
    10,820.12/14,931.78 = 6,104.84/x
  3. Step 3: Cross multiply
    10,820.12x = 14,931.78 × 6,104.84
  4. Step 4: Simplify right side
    10,820.12x = 91,156,127.82
  5. Step 5: Solve for x
    x = 91,156,127.82/10,820.12
  6. Step 6: Final answer
    x = 8,424.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.