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Finding the Fourth Proportional to 12,678.40, 17,496.54 and 7,089.40

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Solution

The fourth proportional to 12,678.40, 17,496.54 and 7,089.40 is: 9,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.40 : 17,496.54 = 7,089.40 : x
  2. Step 2: Convert to fraction form
    12,678.40/17,496.54 = 7,089.40/x
  3. Step 3: Cross multiply
    12,678.40x = 17,496.54 × 7,089.40
  4. Step 4: Simplify right side
    12,678.40x = 124,039,970.68
  5. Step 5: Solve for x
    x = 124,039,970.68/12,678.40
  6. Step 6: Final answer
    x = 9,783.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.