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Finding the Fourth Proportional to 10,372.85, 14,303.21 and 7,009.83

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Solution

The fourth proportional to 10,372.85, 14,303.21 and 7,009.83 is: 9,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.85 : 14,303.21 = 7,009.83 : x
  2. Step 2: Convert to fraction form
    10,372.85/14,303.21 = 7,009.83/x
  3. Step 3: Cross multiply
    10,372.85x = 14,303.21 × 7,009.83
  4. Step 4: Simplify right side
    10,372.85x = 100,263,070.55
  5. Step 5: Solve for x
    x = 100,263,070.55/10,372.85
  6. Step 6: Final answer
    x = 9,665.91

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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.