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Finding the Fourth Proportional to 19,216, 26,518.08 and 10,384

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Solution

The fourth proportional to 19,216, 26,518.08 and 10,384 is: 14,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 26,518.08 = 10,384 : x
  2. Step 2: Convert to fraction form
    19,216/26,518.08 = 10,384/x
  3. Step 3: Cross multiply
    19,216x = 26,518.08 × 10,384
  4. Step 4: Simplify right side
    19,216x = 275,363,742.72
  5. Step 5: Solve for x
    x = 275,363,742.72/19,216
  6. Step 6: Final answer
    x = 14,329.92

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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.