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Finding the Fourth Proportional to 5,362.58, 8,030.83 and 3,714.50

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Solution

The fourth proportional to 5,362.58, 8,030.83 and 3,714.50 is: 5,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.58 : 8,030.83 = 3,714.50 : x
  2. Step 2: Convert to fraction form
    5,362.58/8,030.83 = 3,714.50/x
  3. Step 3: Cross multiply
    5,362.58x = 8,030.83 × 3,714.50
  4. Step 4: Simplify right side
    5,362.58x = 29,830,518.04
  5. Step 5: Solve for x
    x = 29,830,518.04/5,362.58
  6. Step 6: Final answer
    x = 5,562.72

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Why These Related Problems?

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