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Finding the Fourth Proportional to 1,901.78, 2,624.43 and 1,062.50

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Solution

The fourth proportional to 1,901.78, 2,624.43 and 1,062.50 is: 1,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.78 : 2,624.43 = 1,062.50 : x
  2. Step 2: Convert to fraction form
    1,901.78/2,624.43 = 1,062.50/x
  3. Step 3: Cross multiply
    1,901.78x = 2,624.43 × 1,062.50
  4. Step 4: Simplify right side
    1,901.78x = 2,788,443.75
  5. Step 5: Solve for x
    x = 2,788,443.75/1,901.78
  6. Step 6: Final answer
    x = 1,466.23

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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.