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Finding the Fourth Proportional to 7,785, 10,743.30 and 4,990.50

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Solution

The fourth proportional to 7,785, 10,743.30 and 4,990.50 is: 6,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 10,743.30 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    7,785/10,743.30 = 4,990.50/x
  3. Step 3: Cross multiply
    7,785x = 10,743.30 × 4,990.50
  4. Step 4: Simplify right side
    7,785x = 53,614,438.65
  5. Step 5: Solve for x
    x = 53,614,438.65/7,785
  6. Step 6: Final answer
    x = 6,886.89

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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.