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Finding the Fourth Proportional to 10,520.20, 14,518.02 and 5,804.38

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Solution

The fourth proportional to 10,520.20, 14,518.02 and 5,804.38 is: 8,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.20 : 14,518.02 = 5,804.38 : x
  2. Step 2: Convert to fraction form
    10,520.20/14,518.02 = 5,804.38/x
  3. Step 3: Cross multiply
    10,520.20x = 14,518.02 × 5,804.38
  4. Step 4: Simplify right side
    10,520.20x = 84,268,104.93
  5. Step 5: Solve for x
    x = 84,268,104.93/10,520.20
  6. Step 6: Final answer
    x = 8,010.12

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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.