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Finding the Fourth Proportional to 5,866.40, 8,798.04 and 1,970

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Solution

The fourth proportional to 5,866.40, 8,798.04 and 1,970 is: 2,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.40 : 8,798.04 = 1,970 : x
  2. Step 2: Convert to fraction form
    5,866.40/8,798.04 = 1,970/x
  3. Step 3: Cross multiply
    5,866.40x = 8,798.04 × 1,970
  4. Step 4: Simplify right side
    5,866.40x = 17,332,138.80
  5. Step 5: Solve for x
    x = 17,332,138.80/5,866.40
  6. Step 6: Final answer
    x = 2,954.48

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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.