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Finding the Fourth Proportional to 6,415.70, 9,628.41 and 4,330.76

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Solution

The fourth proportional to 6,415.70, 9,628.41 and 4,330.76 is: 6,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.70 : 9,628.41 = 4,330.76 : x
  2. Step 2: Convert to fraction form
    6,415.70/9,628.41 = 4,330.76/x
  3. Step 3: Cross multiply
    6,415.70x = 9,628.41 × 4,330.76
  4. Step 4: Simplify right side
    6,415.70x = 41,698,332.89
  5. Step 5: Solve for x
    x = 41,698,332.89/6,415.70
  6. Step 6: Final answer
    x = 6,499.42

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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.