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Finding the Fourth Proportional to 6,438.99, 9,606.68 and 5,737.30

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Solution

The fourth proportional to 6,438.99, 9,606.68 and 5,737.30 is: 8,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.99 : 9,606.68 = 5,737.30 : x
  2. Step 2: Convert to fraction form
    6,438.99/9,606.68 = 5,737.30/x
  3. Step 3: Cross multiply
    6,438.99x = 9,606.68 × 5,737.30
  4. Step 4: Simplify right side
    6,438.99x = 55,116,405.16
  5. Step 5: Solve for x
    x = 55,116,405.16/6,438.99
  6. Step 6: Final answer
    x = 8,559.79

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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.