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Finding the Fourth Proportional to 1,427.52, 1,968.72 and 1,095.36

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Solution

The fourth proportional to 1,427.52, 1,968.72 and 1,095.36 is: 1,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.52 : 1,968.72 = 1,095.36 : x
  2. Step 2: Convert to fraction form
    1,427.52/1,968.72 = 1,095.36/x
  3. Step 3: Cross multiply
    1,427.52x = 1,968.72 × 1,095.36
  4. Step 4: Simplify right side
    1,427.52x = 2,156,457.14
  5. Step 5: Solve for x
    x = 2,156,457.14/1,427.52
  6. Step 6: Final answer
    x = 1,510.63

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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.