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Finding the Fourth Proportional to 9,503.11, 13,117.95 and 8,506.63

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Solution

The fourth proportional to 9,503.11, 13,117.95 and 8,506.63 is: 11,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.11 : 13,117.95 = 8,506.63 : x
  2. Step 2: Convert to fraction form
    9,503.11/13,117.95 = 8,506.63/x
  3. Step 3: Cross multiply
    9,503.11x = 13,117.95 × 8,506.63
  4. Step 4: Simplify right side
    9,503.11x = 111,589,547.01
  5. Step 5: Solve for x
    x = 111,589,547.01/9,503.11
  6. Step 6: Final answer
    x = 11,742.42

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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.