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Finding the Fourth Proportional to 7,029.46, 9,700.63 and 3,885.63

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Solution

The fourth proportional to 7,029.46, 9,700.63 and 3,885.63 is: 5,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.46 : 9,700.63 = 3,885.63 : x
  2. Step 2: Convert to fraction form
    7,029.46/9,700.63 = 3,885.63/x
  3. Step 3: Cross multiply
    7,029.46x = 9,700.63 × 3,885.63
  4. Step 4: Simplify right side
    7,029.46x = 37,693,058.95
  5. Step 5: Solve for x
    x = 37,693,058.95/7,029.46
  6. Step 6: Final answer
    x = 5,362.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.