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Finding the Fourth Proportional to 5,165.55, 7,749.48 and 1,878.63

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Solution

The fourth proportional to 5,165.55, 7,749.48 and 1,878.63 is: 2,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.55 : 7,749.48 = 1,878.63 : x
  2. Step 2: Convert to fraction form
    5,165.55/7,749.48 = 1,878.63/x
  3. Step 3: Cross multiply
    5,165.55x = 7,749.48 × 1,878.63
  4. Step 4: Simplify right side
    5,165.55x = 14,558,405.61
  5. Step 5: Solve for x
    x = 14,558,405.61/5,165.55
  6. Step 6: Final answer
    x = 2,818.37

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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.