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Finding the Fourth Proportional to 7,438.65, 10,254.45 and 5,667.18

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Solution

The fourth proportional to 7,438.65, 10,254.45 and 5,667.18 is: 7,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.65 : 10,254.45 = 5,667.18 : x
  2. Step 2: Convert to fraction form
    7,438.65/10,254.45 = 5,667.18/x
  3. Step 3: Cross multiply
    7,438.65x = 10,254.45 × 5,667.18
  4. Step 4: Simplify right side
    7,438.65x = 58,113,813.95
  5. Step 5: Solve for x
    x = 58,113,813.95/7,438.65
  6. Step 6: Final answer
    x = 7,812.41

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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.