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Finding the Fourth Proportional to 12,547.06, 17,314.34 and 7,243.58

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Solution

The fourth proportional to 12,547.06, 17,314.34 and 7,243.58 is: 9,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.06 : 17,314.34 = 7,243.58 : x
  2. Step 2: Convert to fraction form
    12,547.06/17,314.34 = 7,243.58/x
  3. Step 3: Cross multiply
    12,547.06x = 17,314.34 × 7,243.58
  4. Step 4: Simplify right side
    12,547.06x = 125,417,806.94
  5. Step 5: Solve for x
    x = 125,417,806.94/12,547.06
  6. Step 6: Final answer
    x = 9,995.79

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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.