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Finding the Fourth Proportional to 7,498.37, 10,347.75 and 4,140.92

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Solution

The fourth proportional to 7,498.37, 10,347.75 and 4,140.92 is: 5,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.37 : 10,347.75 = 4,140.92 : x
  2. Step 2: Convert to fraction form
    7,498.37/10,347.75 = 4,140.92/x
  3. Step 3: Cross multiply
    7,498.37x = 10,347.75 × 4,140.92
  4. Step 4: Simplify right side
    7,498.37x = 42,849,230.80
  5. Step 5: Solve for x
    x = 42,849,230.80/7,498.37
  6. Step 6: Final answer
    x = 5,714.47

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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.