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Finding the Fourth Proportional to 12,410.51, 17,130.49 and 7,946.28

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Solution

The fourth proportional to 12,410.51, 17,130.49 and 7,946.28 is: 10,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.51 : 17,130.49 = 7,946.28 : x
  2. Step 2: Convert to fraction form
    12,410.51/17,130.49 = 7,946.28/x
  3. Step 3: Cross multiply
    12,410.51x = 17,130.49 × 7,946.28
  4. Step 4: Simplify right side
    12,410.51x = 136,123,650.21
  5. Step 5: Solve for x
    x = 136,123,650.21/12,410.51
  6. Step 6: Final answer
    x = 10,968.42

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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.