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Finding the Fourth Proportional to 7,178.81, 9,911.63 and 5,290.61

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Solution

The fourth proportional to 7,178.81, 9,911.63 and 5,290.61 is: 7,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.81 : 9,911.63 = 5,290.61 : x
  2. Step 2: Convert to fraction form
    7,178.81/9,911.63 = 5,290.61/x
  3. Step 3: Cross multiply
    7,178.81x = 9,911.63 × 5,290.61
  4. Step 4: Simplify right side
    7,178.81x = 52,438,532.46
  5. Step 5: Solve for x
    x = 52,438,532.46/7,178.81
  6. Step 6: Final answer
    x = 7,304.63

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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.