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Finding the Fourth Proportional to 10,453.30, 14,432.31 and 6,478.63

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Solution

The fourth proportional to 10,453.30, 14,432.31 and 6,478.63 is: 8,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.30 : 14,432.31 = 6,478.63 : x
  2. Step 2: Convert to fraction form
    10,453.30/14,432.31 = 6,478.63/x
  3. Step 3: Cross multiply
    10,453.30x = 14,432.31 × 6,478.63
  4. Step 4: Simplify right side
    10,453.30x = 93,501,491.98
  5. Step 5: Solve for x
    x = 93,501,491.98/10,453.30
  6. Step 6: Final answer
    x = 8,944.69

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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.