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Finding the Fourth Proportional to 19,470.84, 29,207.20 and 5,430.84

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Solution

The fourth proportional to 19,470.84, 29,207.20 and 5,430.84 is: 8,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470.84 : 29,207.20 = 5,430.84 : x
  2. Step 2: Convert to fraction form
    19,470.84/29,207.20 = 5,430.84/x
  3. Step 3: Cross multiply
    19,470.84x = 29,207.20 × 5,430.84
  4. Step 4: Simplify right side
    19,470.84x = 158,619,630.05
  5. Step 5: Solve for x
    x = 158,619,630.05/19,470.84
  6. Step 6: Final answer
    x = 8,146.52

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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.