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Finding the Fourth Proportional to 1,865.26, 2,798.64 and 824.70

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Solution

The fourth proportional to 1,865.26, 2,798.64 and 824.70 is: 1,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.26 : 2,798.64 = 824.70 : x
  2. Step 2: Convert to fraction form
    1,865.26/2,798.64 = 824.70/x
  3. Step 3: Cross multiply
    1,865.26x = 2,798.64 × 824.70
  4. Step 4: Simplify right side
    1,865.26x = 2,308,038.41
  5. Step 5: Solve for x
    x = 2,308,038.41/1,865.26
  6. Step 6: Final answer
    x = 1,237.38

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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.