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Finding the Fourth Proportional to 1,750.78, 2,405.27 and 1,566.70

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Solution

The fourth proportional to 1,750.78, 2,405.27 and 1,566.70 is: 2,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.78 : 2,405.27 = 1,566.70 : x
  2. Step 2: Convert to fraction form
    1,750.78/2,405.27 = 1,566.70/x
  3. Step 3: Cross multiply
    1,750.78x = 2,405.27 × 1,566.70
  4. Step 4: Simplify right side
    1,750.78x = 3,768,336.51
  5. Step 5: Solve for x
    x = 3,768,336.51/1,750.78
  6. Step 6: Final answer
    x = 2,152.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.