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Finding the Fourth Proportional to 7,909.78, 10,902.93 and 6,228.52

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Solution

The fourth proportional to 7,909.78, 10,902.93 and 6,228.52 is: 8,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.78 : 10,902.93 = 6,228.52 : x
  2. Step 2: Convert to fraction form
    7,909.78/10,902.93 = 6,228.52/x
  3. Step 3: Cross multiply
    7,909.78x = 10,902.93 × 6,228.52
  4. Step 4: Simplify right side
    7,909.78x = 67,909,117.56
  5. Step 5: Solve for x
    x = 67,909,117.56/7,909.78
  6. Step 6: Final answer
    x = 8,585.46

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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.