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Finding the Fourth Proportional to 12,678.94, 17,497.75 and 7,089.94

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Solution

The fourth proportional to 12,678.94, 17,497.75 and 7,089.94 is: 9,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.94 : 17,497.75 = 7,089.94 : x
  2. Step 2: Convert to fraction form
    12,678.94/17,497.75 = 7,089.94/x
  3. Step 3: Cross multiply
    12,678.94x = 17,497.75 × 7,089.94
  4. Step 4: Simplify right side
    12,678.94x = 124,057,936.17
  5. Step 5: Solve for x
    x = 124,057,936.17/12,678.94
  6. Step 6: Final answer
    x = 9,784.57

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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.