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Finding the Fourth Proportional to 7,497.05, 10,345.88 and 4,140.09

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Solution

The fourth proportional to 7,497.05, 10,345.88 and 4,140.09 is: 5,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.05 : 10,345.88 = 4,140.09 : x
  2. Step 2: Convert to fraction form
    7,497.05/10,345.88 = 4,140.09/x
  3. Step 3: Cross multiply
    7,497.05x = 10,345.88 × 4,140.09
  4. Step 4: Simplify right side
    7,497.05x = 42,832,897.76
  5. Step 5: Solve for x
    x = 42,832,897.76/7,497.05
  6. Step 6: Final answer
    x = 5,713.30

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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.