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Finding the Fourth Proportional to 7,261.46, 10,875.88 and 6,312.21

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Solution

The fourth proportional to 7,261.46, 10,875.88 and 6,312.21 is: 9,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.46 : 10,875.88 = 6,312.21 : x
  2. Step 2: Convert to fraction form
    7,261.46/10,875.88 = 6,312.21/x
  3. Step 3: Cross multiply
    7,261.46x = 10,875.88 × 6,312.21
  4. Step 4: Simplify right side
    7,261.46x = 68,650,838.49
  5. Step 5: Solve for x
    x = 68,650,838.49/7,261.46
  6. Step 6: Final answer
    x = 9,454.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.