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Finding the Fourth Proportional to 1,887.37, 2,830.78 and 761.74

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Solution

The fourth proportional to 1,887.37, 2,830.78 and 761.74 is: 1,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.37 : 2,830.78 = 761.74 : x
  2. Step 2: Convert to fraction form
    1,887.37/2,830.78 = 761.74/x
  3. Step 3: Cross multiply
    1,887.37x = 2,830.78 × 761.74
  4. Step 4: Simplify right side
    1,887.37x = 2,156,312.23
  5. Step 5: Solve for x
    x = 2,156,312.23/1,887.37
  6. Step 6: Final answer
    x = 1,142.50

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1.5x scale

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.