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Finding the Fourth Proportional to 5,219.64, 7,831.89 and 5,158.89

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Solution

The fourth proportional to 5,219.64, 7,831.89 and 5,158.89 is: 7,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.64 : 7,831.89 = 5,158.89 : x
  2. Step 2: Convert to fraction form
    5,219.64/7,831.89 = 5,158.89/x
  3. Step 3: Cross multiply
    5,219.64x = 7,831.89 × 5,158.89
  4. Step 4: Simplify right side
    5,219.64x = 40,403,859.00
  5. Step 5: Solve for x
    x = 40,403,859.00/5,219.64
  6. Step 6: Final answer
    x = 7,740.74

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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.