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Finding the Fourth Proportional to 7,547.41, 10,415.39 and 4,190.25

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Solution

The fourth proportional to 7,547.41, 10,415.39 and 4,190.25 is: 5,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.41 : 10,415.39 = 4,190.25 : x
  2. Step 2: Convert to fraction form
    7,547.41/10,415.39 = 4,190.25/x
  3. Step 3: Cross multiply
    7,547.41x = 10,415.39 × 4,190.25
  4. Step 4: Simplify right side
    7,547.41x = 43,643,087.95
  5. Step 5: Solve for x
    x = 43,643,087.95/7,547.41
  6. Step 6: Final answer
    x = 5,782.53

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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.