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Finding the Fourth Proportional to 7,827.50, 10,737.63 and 7,403.81

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Solution

The fourth proportional to 7,827.50, 10,737.63 and 7,403.81 is: 10,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.50 : 10,737.63 = 7,403.81 : x
  2. Step 2: Convert to fraction form
    7,827.50/10,737.63 = 7,403.81/x
  3. Step 3: Cross multiply
    7,827.50x = 10,737.63 × 7,403.81
  4. Step 4: Simplify right side
    7,827.50x = 79,499,318.68
  5. Step 5: Solve for x
    x = 79,499,318.68/7,827.50
  6. Step 6: Final answer
    x = 10,156.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.