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Finding the Fourth Proportional to 19,164, 28,746 and 5,313

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Solution

The fourth proportional to 19,164, 28,746 and 5,313 is: 7,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164 : 28,746 = 5,313 : x
  2. Step 2: Convert to fraction form
    19,164/28,746 = 5,313/x
  3. Step 3: Cross multiply
    19,164x = 28,746 × 5,313
  4. Step 4: Simplify right side
    19,164x = 152,727,498
  5. Step 5: Solve for x
    x = 152,727,498/19,164
  6. Step 6: Final answer
    x = 7,969.50

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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.