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Finding the Fourth Proportional to 10,955.86, 15,126.15 and 9,774.88

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Solution

The fourth proportional to 10,955.86, 15,126.15 and 9,774.88 is: 13,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.86 : 15,126.15 = 9,774.88 : x
  2. Step 2: Convert to fraction form
    10,955.86/15,126.15 = 9,774.88/x
  3. Step 3: Cross multiply
    10,955.86x = 15,126.15 × 9,774.88
  4. Step 4: Simplify right side
    10,955.86x = 147,856,301.11
  5. Step 5: Solve for x
    x = 147,856,301.11/10,955.86
  6. Step 6: Final answer
    x = 13,495.64

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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.