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Finding the Fourth Proportional to 7,615.91, 10,510.02 and 4,212.86

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Solution

The fourth proportional to 7,615.91, 10,510.02 and 4,212.86 is: 5,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.91 : 10,510.02 = 4,212.86 : x
  2. Step 2: Convert to fraction form
    7,615.91/10,510.02 = 4,212.86/x
  3. Step 3: Cross multiply
    7,615.91x = 10,510.02 × 4,212.86
  4. Step 4: Simplify right side
    7,615.91x = 44,277,269.13
  5. Step 5: Solve for x
    x = 44,277,269.13/7,615.91
  6. Step 6: Final answer
    x = 5,813.78

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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.