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Finding the Fourth Proportional to 5,411.63, 8,116.74 and 1,713.89

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Solution

The fourth proportional to 5,411.63, 8,116.74 and 1,713.89 is: 2,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.63 : 8,116.74 = 1,713.89 : x
  2. Step 2: Convert to fraction form
    5,411.63/8,116.74 = 1,713.89/x
  3. Step 3: Cross multiply
    5,411.63x = 8,116.74 × 1,713.89
  4. Step 4: Simplify right side
    5,411.63x = 13,911,219.81
  5. Step 5: Solve for x
    x = 13,911,219.81/5,411.63
  6. Step 6: Final answer
    x = 2,570.61

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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.