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Finding the Fourth Proportional to 5,865.76, 8,797.20 and 1,970.08

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Solution

The fourth proportional to 5,865.76, 8,797.20 and 1,970.08 is: 2,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.76 : 8,797.20 = 1,970.08 : x
  2. Step 2: Convert to fraction form
    5,865.76/8,797.20 = 1,970.08/x
  3. Step 3: Cross multiply
    5,865.76x = 8,797.20 × 1,970.08
  4. Step 4: Simplify right side
    5,865.76x = 17,331,187.78
  5. Step 5: Solve for x
    x = 17,331,187.78/5,865.76
  6. Step 6: Final answer
    x = 2,954.64

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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.