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Finding the Fourth Proportional to 5,435.30, 8,148.90 and 2,972.90

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Solution

The fourth proportional to 5,435.30, 8,148.90 and 2,972.90 is: 4,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.30 : 8,148.90 = 2,972.90 : x
  2. Step 2: Convert to fraction form
    5,435.30/8,148.90 = 2,972.90/x
  3. Step 3: Cross multiply
    5,435.30x = 8,148.90 × 2,972.90
  4. Step 4: Simplify right side
    5,435.30x = 24,225,864.81
  5. Step 5: Solve for x
    x = 24,225,864.81/5,435.30
  6. Step 6: Final answer
    x = 4,457.13

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Why These Related Problems?

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