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Finding the Fourth Proportional to 5,321.55, 7,980.30 and 1,762.86

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Solution

The fourth proportional to 5,321.55, 7,980.30 and 1,762.86 is: 2,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.55 : 7,980.30 = 1,762.86 : x
  2. Step 2: Convert to fraction form
    5,321.55/7,980.30 = 1,762.86/x
  3. Step 3: Cross multiply
    5,321.55x = 7,980.30 × 1,762.86
  4. Step 4: Simplify right side
    5,321.55x = 14,068,151.66
  5. Step 5: Solve for x
    x = 14,068,151.66/5,321.55
  6. Step 6: Final answer
    x = 2,643.62

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1.5x scale

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.