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Finding the Fourth Proportional to 15,445, 23,167.48 and 5,457.14

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Solution

The fourth proportional to 15,445, 23,167.48 and 5,457.14 is: 8,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445 : 23,167.48 = 5,457.14 : x
  2. Step 2: Convert to fraction form
    15,445/23,167.48 = 5,457.14/x
  3. Step 3: Cross multiply
    15,445x = 23,167.48 × 5,457.14
  4. Step 4: Simplify right side
    15,445x = 126,428,181.81
  5. Step 5: Solve for x
    x = 126,428,181.81/15,445
  6. Step 6: Final answer
    x = 8,185.70

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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.