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Finding the Fourth Proportional to 1,427.63, 1,970.93 and 1,077.71

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Solution

The fourth proportional to 1,427.63, 1,970.93 and 1,077.71 is: 1,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 1,970.93 = 1,077.71 : x
  2. Step 2: Convert to fraction form
    1,427.63/1,970.93 = 1,077.71/x
  3. Step 3: Cross multiply
    1,427.63x = 1,970.93 × 1,077.71
  4. Step 4: Simplify right side
    1,427.63x = 2,124,083.81
  5. Step 5: Solve for x
    x = 2,124,083.81/1,427.63
  6. Step 6: Final answer
    x = 1,487.84

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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.