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Finding the Fourth Proportional to 1,527.89, 2,108.52 and 930.41

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Solution

The fourth proportional to 1,527.89, 2,108.52 and 930.41 is: 1,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.89 : 2,108.52 = 930.41 : x
  2. Step 2: Convert to fraction form
    1,527.89/2,108.52 = 930.41/x
  3. Step 3: Cross multiply
    1,527.89x = 2,108.52 × 930.41
  4. Step 4: Simplify right side
    1,527.89x = 1,961,785.46
  5. Step 5: Solve for x
    x = 1,961,785.46/1,527.89
  6. Step 6: Final answer
    x = 1,283.98

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