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Finding the Fourth Proportional to 8,971.52, 13,457.28 and 3,774.08

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Solution

The fourth proportional to 8,971.52, 13,457.28 and 3,774.08 is: 5,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.52 : 13,457.28 = 3,774.08 : x
  2. Step 2: Convert to fraction form
    8,971.52/13,457.28 = 3,774.08/x
  3. Step 3: Cross multiply
    8,971.52x = 13,457.28 × 3,774.08
  4. Step 4: Simplify right side
    8,971.52x = 50,788,851.30
  5. Step 5: Solve for x
    x = 50,788,851.30/8,971.52
  6. Step 6: Final answer
    x = 5,661.12

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Why These Related Problems?

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