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Finding the Fourth Proportional to 12,678.14, 17,495.87 and 7,089.14

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Solution

The fourth proportional to 12,678.14, 17,495.87 and 7,089.14 is: 9,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.14 : 17,495.87 = 7,089.14 : x
  2. Step 2: Convert to fraction form
    12,678.14/17,495.87 = 7,089.14/x
  3. Step 3: Cross multiply
    12,678.14x = 17,495.87 × 7,089.14
  4. Step 4: Simplify right side
    12,678.14x = 124,030,548.93
  5. Step 5: Solve for x
    x = 124,030,548.93/12,678.14
  6. Step 6: Final answer
    x = 9,783.03

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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.