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Finding the Fourth Proportional to 7,903.80, 11,859.80 and 5,730.47

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Solution

The fourth proportional to 7,903.80, 11,859.80 and 5,730.47 is: 8,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.80 : 11,859.80 = 5,730.47 : x
  2. Step 2: Convert to fraction form
    7,903.80/11,859.80 = 5,730.47/x
  3. Step 3: Cross multiply
    7,903.80x = 11,859.80 × 5,730.47
  4. Step 4: Simplify right side
    7,903.80x = 67,962,274.39
  5. Step 5: Solve for x
    x = 67,962,274.39/7,903.80
  6. Step 6: Final answer
    x = 8,598.68

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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.