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Finding the Fourth Proportional to 1,925.12, 2,887.32 and 675.52

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Solution

The fourth proportional to 1,925.12, 2,887.32 and 675.52 is: 1,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.12 : 2,887.32 = 675.52 : x
  2. Step 2: Convert to fraction form
    1,925.12/2,887.32 = 675.52/x
  3. Step 3: Cross multiply
    1,925.12x = 2,887.32 × 675.52
  4. Step 4: Simplify right side
    1,925.12x = 1,950,442.41
  5. Step 5: Solve for x
    x = 1,950,442.41/1,925.12
  6. Step 6: Final answer
    x = 1,013.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.