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Finding the Fourth Proportional to 20,838, 28,756.47 and 11,406.57

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Solution

The fourth proportional to 20,838, 28,756.47 and 11,406.57 is: 15,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838 : 28,756.47 = 11,406.57 : x
  2. Step 2: Convert to fraction form
    20,838/28,756.47 = 11,406.57/x
  3. Step 3: Cross multiply
    20,838x = 28,756.47 × 11,406.57
  4. Step 4: Simplify right side
    20,838x = 328,012,688.01
  5. Step 5: Solve for x
    x = 328,012,688.01/20,838
  6. Step 6: Final answer
    x = 15,741.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.