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Finding the Fourth Proportional to 19,428, 26,806.32 and 11,470.56

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Solution

The fourth proportional to 19,428, 26,806.32 and 11,470.56 is: 15,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428 : 26,806.32 = 11,470.56 : x
  2. Step 2: Convert to fraction form
    19,428/26,806.32 = 11,470.56/x
  3. Step 3: Cross multiply
    19,428x = 26,806.32 × 11,470.56
  4. Step 4: Simplify right side
    19,428x = 307,483,501.94
  5. Step 5: Solve for x
    x = 307,483,501.94/19,428
  6. Step 6: Final answer
    x = 15,826.82

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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.