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Finding the Fourth Proportional to 1,755.25, 2,421.74 and 1,009.15

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Solution

The fourth proportional to 1,755.25, 2,421.74 and 1,009.15 is: 1,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.25 : 2,421.74 = 1,009.15 : x
  2. Step 2: Convert to fraction form
    1,755.25/2,421.74 = 1,009.15/x
  3. Step 3: Cross multiply
    1,755.25x = 2,421.74 × 1,009.15
  4. Step 4: Simplify right side
    1,755.25x = 2,443,895.39
  5. Step 5: Solve for x
    x = 2,443,895.39/1,755.25
  6. Step 6: Final answer
    x = 1,392.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.