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Finding the Fourth Proportional to 12,435.84, 17,160 and 7,057.92

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Solution

The fourth proportional to 12,435.84, 17,160 and 7,057.92 is: 9,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 17,160 = 7,057.92 : x
  2. Step 2: Convert to fraction form
    12,435.84/17,160 = 7,057.92/x
  3. Step 3: Cross multiply
    12,435.84x = 17,160 × 7,057.92
  4. Step 4: Simplify right side
    12,435.84x = 121,113,907.20
  5. Step 5: Solve for x
    x = 121,113,907.20/12,435.84
  6. Step 6: Final answer
    x = 9,739.10

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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.