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Finding the Fourth Proportional to 15,915.50, 23,873.26 and 4,971.50

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Solution

The fourth proportional to 15,915.50, 23,873.26 and 4,971.50 is: 7,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.50 : 23,873.26 = 4,971.50 : x
  2. Step 2: Convert to fraction form
    15,915.50/23,873.26 = 4,971.50/x
  3. Step 3: Cross multiply
    15,915.50x = 23,873.26 × 4,971.50
  4. Step 4: Simplify right side
    15,915.50x = 118,685,912.09
  5. Step 5: Solve for x
    x = 118,685,912.09/15,915.50
  6. Step 6: Final answer
    x = 7,457.25

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1.5x scale

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.