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Finding the Fourth Proportional to 6,470, 8,930.04 and 4,111.68

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Solution

The fourth proportional to 6,470, 8,930.04 and 4,111.68 is: 5,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 8,930.04 = 4,111.68 : x
  2. Step 2: Convert to fraction form
    6,470/8,930.04 = 4,111.68/x
  3. Step 3: Cross multiply
    6,470x = 8,930.04 × 4,111.68
  4. Step 4: Simplify right side
    6,470x = 36,717,466.87
  5. Step 5: Solve for x
    x = 36,717,466.87/6,470
  6. Step 6: Final answer
    x = 5,675.03

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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.