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Finding the Fourth Proportional to 7,061.47, 9,746 and 3,918.67

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Solution

The fourth proportional to 7,061.47, 9,746 and 3,918.67 is: 5,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.47 : 9,746 = 3,918.67 : x
  2. Step 2: Convert to fraction form
    7,061.47/9,746 = 3,918.67/x
  3. Step 3: Cross multiply
    7,061.47x = 9,746 × 3,918.67
  4. Step 4: Simplify right side
    7,061.47x = 38,191,357.82
  5. Step 5: Solve for x
    x = 38,191,357.82/7,061.47
  6. Step 6: Final answer
    x = 5,408.41

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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.