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Finding the Fourth Proportional to 8,430.54, 12,631.77 and 5,133.66

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Solution

The fourth proportional to 8,430.54, 12,631.77 and 5,133.66 is: 7,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.54 : 12,631.77 = 5,133.66 : x
  2. Step 2: Convert to fraction form
    8,430.54/12,631.77 = 5,133.66/x
  3. Step 3: Cross multiply
    8,430.54x = 12,631.77 × 5,133.66
  4. Step 4: Simplify right side
    8,430.54x = 64,847,212.38
  5. Step 5: Solve for x
    x = 64,847,212.38/8,430.54
  6. Step 6: Final answer
    x = 7,691.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.