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Finding the Fourth Proportional to 12,669.04, 19,007.40 and 8,978.40

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Solution

The fourth proportional to 12,669.04, 19,007.40 and 8,978.40 is: 13,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.04 : 19,007.40 = 8,978.40 : x
  2. Step 2: Convert to fraction form
    12,669.04/19,007.40 = 8,978.40/x
  3. Step 3: Cross multiply
    12,669.04x = 19,007.40 × 8,978.40
  4. Step 4: Simplify right side
    12,669.04x = 170,656,040.16
  5. Step 5: Solve for x
    x = 170,656,040.16/12,669.04
  6. Step 6: Final answer
    x = 13,470.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.