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Finding the Fourth Proportional to 7,946, 10,965.48 and 5,151.50

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Solution

The fourth proportional to 7,946, 10,965.48 and 5,151.50 is: 7,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 10,965.48 = 5,151.50 : x
  2. Step 2: Convert to fraction form
    7,946/10,965.48 = 5,151.50/x
  3. Step 3: Cross multiply
    7,946x = 10,965.48 × 5,151.50
  4. Step 4: Simplify right side
    7,946x = 56,488,670.22
  5. Step 5: Solve for x
    x = 56,488,670.22/7,946
  6. Step 6: Final answer
    x = 7,109.07

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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.