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Finding the Fourth Proportional to 7,345.76, 10,137.15 and 4,202.01

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Solution

The fourth proportional to 7,345.76, 10,137.15 and 4,202.01 is: 5,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.76 : 10,137.15 = 4,202.01 : x
  2. Step 2: Convert to fraction form
    7,345.76/10,137.15 = 4,202.01/x
  3. Step 3: Cross multiply
    7,345.76x = 10,137.15 × 4,202.01
  4. Step 4: Simplify right side
    7,345.76x = 42,596,405.67
  5. Step 5: Solve for x
    x = 42,596,405.67/7,345.76
  6. Step 6: Final answer
    x = 5,798.78

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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.