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Finding the Fourth Proportional to 7,550.40, 10,420.32 and 4,406.40

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Solution

The fourth proportional to 7,550.40, 10,420.32 and 4,406.40 is: 6,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.40 : 10,420.32 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    7,550.40/10,420.32 = 4,406.40/x
  3. Step 3: Cross multiply
    7,550.40x = 10,420.32 × 4,406.40
  4. Step 4: Simplify right side
    7,550.40x = 45,916,098.05
  5. Step 5: Solve for x
    x = 45,916,098.05/7,550.40
  6. Step 6: Final answer
    x = 6,081.28

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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.