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Finding the Fourth Proportional to 10,119.10, 13,962.06 and 5,870.86

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Solution

The fourth proportional to 10,119.10, 13,962.06 and 5,870.86 is: 8,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.10 : 13,962.06 = 5,870.86 : x
  2. Step 2: Convert to fraction form
    10,119.10/13,962.06 = 5,870.86/x
  3. Step 3: Cross multiply
    10,119.10x = 13,962.06 × 5,870.86
  4. Step 4: Simplify right side
    10,119.10x = 81,969,299.57
  5. Step 5: Solve for x
    x = 81,969,299.57/10,119.10
  6. Step 6: Final answer
    x = 8,100.45

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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.