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Finding the Fourth Proportional to 7,142.17, 9,849.10 and 4,345.93

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Solution

The fourth proportional to 7,142.17, 9,849.10 and 4,345.93 is: 5,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.17 : 9,849.10 = 4,345.93 : x
  2. Step 2: Convert to fraction form
    7,142.17/9,849.10 = 4,345.93/x
  3. Step 3: Cross multiply
    7,142.17x = 9,849.10 × 4,345.93
  4. Step 4: Simplify right side
    7,142.17x = 42,803,499.16
  5. Step 5: Solve for x
    x = 42,803,499.16/7,142.17
  6. Step 6: Final answer
    x = 5,993.07

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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.