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Finding the Fourth Proportional to 1,887.06, 2,604.06 and 1,140.94

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Solution

The fourth proportional to 1,887.06, 2,604.06 and 1,140.94 is: 1,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.06 : 2,604.06 = 1,140.94 : x
  2. Step 2: Convert to fraction form
    1,887.06/2,604.06 = 1,140.94/x
  3. Step 3: Cross multiply
    1,887.06x = 2,604.06 × 1,140.94
  4. Step 4: Simplify right side
    1,887.06x = 2,971,076.22
  5. Step 5: Solve for x
    x = 2,971,076.22/1,887.06
  6. Step 6: Final answer
    x = 1,574.45

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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.