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Finding the Fourth Proportional to 5,164.42, 7,749.93 and 1,877.20

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Solution

The fourth proportional to 5,164.42, 7,749.93 and 1,877.20 is: 2,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.42 : 7,749.93 = 1,877.20 : x
  2. Step 2: Convert to fraction form
    5,164.42/7,749.93 = 1,877.20/x
  3. Step 3: Cross multiply
    5,164.42x = 7,749.93 × 1,877.20
  4. Step 4: Simplify right side
    5,164.42x = 14,548,168.60
  5. Step 5: Solve for x
    x = 14,548,168.60/5,164.42
  6. Step 6: Final answer
    x = 2,817.00

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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.