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Finding the Fourth Proportional to 10,446.64, 14,415.90 and 5,730.04

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Solution

The fourth proportional to 10,446.64, 14,415.90 and 5,730.04 is: 7,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.64 : 14,415.90 = 5,730.04 : x
  2. Step 2: Convert to fraction form
    10,446.64/14,415.90 = 5,730.04/x
  3. Step 3: Cross multiply
    10,446.64x = 14,415.90 × 5,730.04
  4. Step 4: Simplify right side
    10,446.64x = 82,603,683.64
  5. Step 5: Solve for x
    x = 82,603,683.64/10,446.64
  6. Step 6: Final answer
    x = 7,907.20

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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.