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Finding the Fourth Proportional to 12,898.88, 19,358.04 and 5,978.24

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Solution

The fourth proportional to 12,898.88, 19,358.04 and 5,978.24 is: 8,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.88 : 19,358.04 = 5,978.24 : x
  2. Step 2: Convert to fraction form
    12,898.88/19,358.04 = 5,978.24/x
  3. Step 3: Cross multiply
    12,898.88x = 19,358.04 × 5,978.24
  4. Step 4: Simplify right side
    12,898.88x = 115,727,009.05
  5. Step 5: Solve for x
    x = 115,727,009.05/12,898.88
  6. Step 6: Final answer
    x = 8,971.86

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1.5x scale

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.