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Finding the Fourth Proportional to 10,975.74, 15,116.13 and 9,483.18

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Solution

The fourth proportional to 10,975.74, 15,116.13 and 9,483.18 is: 13,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.74 : 15,116.13 = 9,483.18 : x
  2. Step 2: Convert to fraction form
    10,975.74/15,116.13 = 9,483.18/x
  3. Step 3: Cross multiply
    10,975.74x = 15,116.13 × 9,483.18
  4. Step 4: Simplify right side
    10,975.74x = 143,348,981.69
  5. Step 5: Solve for x
    x = 143,348,981.69/10,975.74
  6. Step 6: Final answer
    x = 13,060.53

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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.