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Finding the Fourth Proportional to 7,058.17, 9,740.28 and 3,871.49

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Solution

The fourth proportional to 7,058.17, 9,740.28 and 3,871.49 is: 5,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.17 : 9,740.28 = 3,871.49 : x
  2. Step 2: Convert to fraction form
    7,058.17/9,740.28 = 3,871.49/x
  3. Step 3: Cross multiply
    7,058.17x = 9,740.28 × 3,871.49
  4. Step 4: Simplify right side
    7,058.17x = 37,709,417.22
  5. Step 5: Solve for x
    x = 37,709,417.22/7,058.17
  6. Step 6: Final answer
    x = 5,342.67

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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.