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Finding the Fourth Proportional to 11,547.71, 17,321.80 and 5,306.02

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Solution

The fourth proportional to 11,547.71, 17,321.80 and 5,306.02 is: 7,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.71 : 17,321.80 = 5,306.02 : x
  2. Step 2: Convert to fraction form
    11,547.71/17,321.80 = 5,306.02/x
  3. Step 3: Cross multiply
    11,547.71x = 17,321.80 × 5,306.02
  4. Step 4: Simplify right side
    11,547.71x = 91,909,868.05
  5. Step 5: Solve for x
    x = 91,909,868.05/11,547.71
  6. Step 6: Final answer
    x = 7,959.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.