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Finding the Fourth Proportional to 5,168.40, 7,752.60 and 1,705.20

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Solution

The fourth proportional to 5,168.40, 7,752.60 and 1,705.20 is: 2,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.40 : 7,752.60 = 1,705.20 : x
  2. Step 2: Convert to fraction form
    5,168.40/7,752.60 = 1,705.20/x
  3. Step 3: Cross multiply
    5,168.40x = 7,752.60 × 1,705.20
  4. Step 4: Simplify right side
    5,168.40x = 13,219,733.52
  5. Step 5: Solve for x
    x = 13,219,733.52/5,168.40
  6. Step 6: Final answer
    x = 2,557.80

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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.