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Finding the Fourth Proportional to 6,430.69, 8,872.89 and 4,071.47

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Solution

The fourth proportional to 6,430.69, 8,872.89 and 4,071.47 is: 5,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.69 : 8,872.89 = 4,071.47 : x
  2. Step 2: Convert to fraction form
    6,430.69/8,872.89 = 4,071.47/x
  3. Step 3: Cross multiply
    6,430.69x = 8,872.89 × 4,071.47
  4. Step 4: Simplify right side
    6,430.69x = 36,125,705.45
  5. Step 5: Solve for x
    x = 36,125,705.45/6,430.69
  6. Step 6: Final answer
    x = 5,617.71

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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.