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Finding the Fourth Proportional to 11,298.47, 15,586.62 and 7,109.03

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Solution

The fourth proportional to 11,298.47, 15,586.62 and 7,109.03 is: 9,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.47 : 15,586.62 = 7,109.03 : x
  2. Step 2: Convert to fraction form
    11,298.47/15,586.62 = 7,109.03/x
  3. Step 3: Cross multiply
    11,298.47x = 15,586.62 × 7,109.03
  4. Step 4: Simplify right side
    11,298.47x = 110,805,713.63
  5. Step 5: Solve for x
    x = 110,805,713.63/11,298.47
  6. Step 6: Final answer
    x = 9,807.14

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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.