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Finding the Fourth Proportional to 12,417.84, 17,138.36 and 7,703.64

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Solution

The fourth proportional to 12,417.84, 17,138.36 and 7,703.64 is: 10,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.84 : 17,138.36 = 7,703.64 : x
  2. Step 2: Convert to fraction form
    12,417.84/17,138.36 = 7,703.64/x
  3. Step 3: Cross multiply
    12,417.84x = 17,138.36 × 7,703.64
  4. Step 4: Simplify right side
    12,417.84x = 132,027,755.63
  5. Step 5: Solve for x
    x = 132,027,755.63/12,417.84
  6. Step 6: Final answer
    x = 10,632.10

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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.