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Finding the Fourth Proportional to 6,437.69, 9,658.35 and 3,807.53

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Solution

The fourth proportional to 6,437.69, 9,658.35 and 3,807.53 is: 5,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.69 : 9,658.35 = 3,807.53 : x
  2. Step 2: Convert to fraction form
    6,437.69/9,658.35 = 3,807.53/x
  3. Step 3: Cross multiply
    6,437.69x = 9,658.35 × 3,807.53
  4. Step 4: Simplify right side
    6,437.69x = 36,774,409.08
  5. Step 5: Solve for x
    x = 36,774,409.08/6,437.69
  6. Step 6: Final answer
    x = 5,712.37

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1.5x scale

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.