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Finding the Fourth Proportional to 10,478.67, 14,457.03 and 5,940.86

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Solution

The fourth proportional to 10,478.67, 14,457.03 and 5,940.86 is: 8,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.67 : 14,457.03 = 5,940.86 : x
  2. Step 2: Convert to fraction form
    10,478.67/14,457.03 = 5,940.86/x
  3. Step 3: Cross multiply
    10,478.67x = 14,457.03 × 5,940.86
  4. Step 4: Simplify right side
    10,478.67x = 85,887,211.42
  5. Step 5: Solve for x
    x = 85,887,211.42/10,478.67
  6. Step 6: Final answer
    x = 8,196.38

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1.5x scale

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.