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Finding the Fourth Proportional to 19,364, 26,722.32 and 10,980.50

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Solution

The fourth proportional to 19,364, 26,722.32 and 10,980.50 is: 15,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364 : 26,722.32 = 10,980.50 : x
  2. Step 2: Convert to fraction form
    19,364/26,722.32 = 10,980.50/x
  3. Step 3: Cross multiply
    19,364x = 26,722.32 × 10,980.50
  4. Step 4: Simplify right side
    19,364x = 293,424,434.76
  5. Step 5: Solve for x
    x = 293,424,434.76/19,364
  6. Step 6: Final answer
    x = 15,153.09

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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.