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Finding the Fourth Proportional to 5,866.78, 8,800.98 and 1,970.68

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Solution

The fourth proportional to 5,866.78, 8,800.98 and 1,970.68 is: 2,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.78 : 8,800.98 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    5,866.78/8,800.98 = 1,970.68/x
  3. Step 3: Cross multiply
    5,866.78x = 8,800.98 × 1,970.68
  4. Step 4: Simplify right side
    5,866.78x = 17,343,915.27
  5. Step 5: Solve for x
    x = 17,343,915.27/5,866.78
  6. Step 6: Final answer
    x = 2,956.29

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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.