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Finding the Fourth Proportional to 13,915.77, 19,203.05 and 7,946.27

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Solution

The fourth proportional to 13,915.77, 19,203.05 and 7,946.27 is: 10,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.77 : 19,203.05 = 7,946.27 : x
  2. Step 2: Convert to fraction form
    13,915.77/19,203.05 = 7,946.27/x
  3. Step 3: Cross multiply
    13,915.77x = 19,203.05 × 7,946.27
  4. Step 4: Simplify right side
    13,915.77x = 152,592,580.39
  5. Step 5: Solve for x
    x = 152,592,580.39/13,915.77
  6. Step 6: Final answer
    x = 10,965.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.