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Finding the Fourth Proportional to 6,430.70, 8,882.70 and 4,437.74

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Solution

The fourth proportional to 6,430.70, 8,882.70 and 4,437.74 is: 6,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.70 : 8,882.70 = 4,437.74 : x
  2. Step 2: Convert to fraction form
    6,430.70/8,882.70 = 4,437.74/x
  3. Step 3: Cross multiply
    6,430.70x = 8,882.70 × 4,437.74
  4. Step 4: Simplify right side
    6,430.70x = 39,419,113.10
  5. Step 5: Solve for x
    x = 39,419,113.10/6,430.70
  6. Step 6: Final answer
    x = 6,129.83

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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.