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Finding the Fourth Proportional to 10,909.69, 15,055.47 and 6,194.07

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Solution

The fourth proportional to 10,909.69, 15,055.47 and 6,194.07 is: 8,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 15,055.47 = 6,194.07 : x
  2. Step 2: Convert to fraction form
    10,909.69/15,055.47 = 6,194.07/x
  3. Step 3: Cross multiply
    10,909.69x = 15,055.47 × 6,194.07
  4. Step 4: Simplify right side
    10,909.69x = 93,254,635.06
  5. Step 5: Solve for x
    x = 93,254,635.06/10,909.69
  6. Step 6: Final answer
    x = 8,547.87

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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.