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Finding the Fourth Proportional to 19,470, 29,201.80 and 5,430.98

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Solution

The fourth proportional to 19,470, 29,201.80 and 5,430.98 is: 8,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 29,201.80 = 5,430.98 : x
  2. Step 2: Convert to fraction form
    19,470/29,201.80 = 5,430.98/x
  3. Step 3: Cross multiply
    19,470x = 29,201.80 × 5,430.98
  4. Step 4: Simplify right side
    19,470x = 158,594,245.76
  5. Step 5: Solve for x
    x = 158,594,245.76/19,470
  6. Step 6: Final answer
    x = 8,145.57

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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.