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Finding the Fourth Proportional to 10,552.98, 14,559.02 and 6,775.14

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Solution

The fourth proportional to 10,552.98, 14,559.02 and 6,775.14 is: 9,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.98 : 14,559.02 = 6,775.14 : x
  2. Step 2: Convert to fraction form
    10,552.98/14,559.02 = 6,775.14/x
  3. Step 3: Cross multiply
    10,552.98x = 14,559.02 × 6,775.14
  4. Step 4: Simplify right side
    10,552.98x = 98,639,398.76
  5. Step 5: Solve for x
    x = 98,639,398.76/10,552.98
  6. Step 6: Final answer
    x = 9,347.07

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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.