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Finding the Fourth Proportional to 5,622.40, 8,417.40 and 5,039.20

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Solution

The fourth proportional to 5,622.40, 8,417.40 and 5,039.20 is: 7,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.40 : 8,417.40 = 5,039.20 : x
  2. Step 2: Convert to fraction form
    5,622.40/8,417.40 = 5,039.20/x
  3. Step 3: Cross multiply
    5,622.40x = 8,417.40 × 5,039.20
  4. Step 4: Simplify right side
    5,622.40x = 42,416,962.08
  5. Step 5: Solve for x
    x = 42,416,962.08/5,622.40
  6. Step 6: Final answer
    x = 7,544.28

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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.