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Finding the Fourth Proportional to 6,421.52, 9,586.14 and 6,137.84

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Solution

The fourth proportional to 6,421.52, 9,586.14 and 6,137.84 is: 9,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.52 : 9,586.14 = 6,137.84 : x
  2. Step 2: Convert to fraction form
    6,421.52/9,586.14 = 6,137.84/x
  3. Step 3: Cross multiply
    6,421.52x = 9,586.14 × 6,137.84
  4. Step 4: Simplify right side
    6,421.52x = 58,838,193.54
  5. Step 5: Solve for x
    x = 58,838,193.54/6,421.52
  6. Step 6: Final answer
    x = 9,162.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.