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Finding the Fourth Proportional to 3,111.78, 4,294.23 and 1,714.50

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Solution

The fourth proportional to 3,111.78, 4,294.23 and 1,714.50 is: 2,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.78 : 4,294.23 = 1,714.50 : x
  2. Step 2: Convert to fraction form
    3,111.78/4,294.23 = 1,714.50/x
  3. Step 3: Cross multiply
    3,111.78x = 4,294.23 × 1,714.50
  4. Step 4: Simplify right side
    3,111.78x = 7,362,457.34
  5. Step 5: Solve for x
    x = 7,362,457.34/3,111.78
  6. Step 6: Final answer
    x = 2,366.00

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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.