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Finding the Fourth Proportional to 5,319.60, 7,978.76 and 1,424.32

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Solution

The fourth proportional to 5,319.60, 7,978.76 and 1,424.32 is: 2,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.60 : 7,978.76 = 1,424.32 : x
  2. Step 2: Convert to fraction form
    5,319.60/7,978.76 = 1,424.32/x
  3. Step 3: Cross multiply
    5,319.60x = 7,978.76 × 1,424.32
  4. Step 4: Simplify right side
    5,319.60x = 11,364,307.44
  5. Step 5: Solve for x
    x = 11,364,307.44/5,319.60
  6. Step 6: Final answer
    x = 2,136.31

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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.