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Finding the Fourth Proportional to 14,570, 20,106.60 and 7,946

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Solution

The fourth proportional to 14,570, 20,106.60 and 7,946 is: 10,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 20,106.60 = 7,946 : x
  2. Step 2: Convert to fraction form
    14,570/20,106.60 = 7,946/x
  3. Step 3: Cross multiply
    14,570x = 20,106.60 × 7,946
  4. Step 4: Simplify right side
    14,570x = 159,767,043.60
  5. Step 5: Solve for x
    x = 159,767,043.60/14,570
  6. Step 6: Final answer
    x = 10,965.48

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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.