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Finding the Fourth Proportional to 10,457.86, 14,432.11 and 5,678

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Solution

The fourth proportional to 10,457.86, 14,432.11 and 5,678 is: 7,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.86 : 14,432.11 = 5,678 : x
  2. Step 2: Convert to fraction form
    10,457.86/14,432.11 = 5,678/x
  3. Step 3: Cross multiply
    10,457.86x = 14,432.11 × 5,678
  4. Step 4: Simplify right side
    10,457.86x = 81,945,520.58
  5. Step 5: Solve for x
    x = 81,945,520.58/10,457.86
  6. Step 6: Final answer
    x = 7,835.78

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Why These Related Problems?

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