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Finding the Fourth Proportional to 19,303.76, 28,946.39 and 9,431.48

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Solution

The fourth proportional to 19,303.76, 28,946.39 and 9,431.48 is: 14,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,303.76 : 28,946.39 = 9,431.48 : x
  2. Step 2: Convert to fraction form
    19,303.76/28,946.39 = 9,431.48/x
  3. Step 3: Cross multiply
    19,303.76x = 28,946.39 × 9,431.48
  4. Step 4: Simplify right side
    19,303.76x = 273,007,106.47
  5. Step 5: Solve for x
    x = 273,007,106.47/19,303.76
  6. Step 6: Final answer
    x = 14,142.69

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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.