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Finding the Fourth Proportional to 5,259.80, 7,258.52 and 2,902.10

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Solution

The fourth proportional to 5,259.80, 7,258.52 and 2,902.10 is: 4,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.80 : 7,258.52 = 2,902.10 : x
  2. Step 2: Convert to fraction form
    5,259.80/7,258.52 = 2,902.10/x
  3. Step 3: Cross multiply
    5,259.80x = 7,258.52 × 2,902.10
  4. Step 4: Simplify right side
    5,259.80x = 21,064,921.85
  5. Step 5: Solve for x
    x = 21,064,921.85/5,259.80
  6. Step 6: Final answer
    x = 4,004.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.