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Finding the Fourth Proportional to 10,453.68, 14,421.52 and 6,419.12

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Solution

The fourth proportional to 10,453.68, 14,421.52 and 6,419.12 is: 8,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.68 : 14,421.52 = 6,419.12 : x
  2. Step 2: Convert to fraction form
    10,453.68/14,421.52 = 6,419.12/x
  3. Step 3: Cross multiply
    10,453.68x = 14,421.52 × 6,419.12
  4. Step 4: Simplify right side
    10,453.68x = 92,573,467.46
  5. Step 5: Solve for x
    x = 92,573,467.46/10,453.68
  6. Step 6: Final answer
    x = 8,855.59

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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.