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Finding the Fourth Proportional to 19,167, 28,750.50 and 5,316

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Solution

The fourth proportional to 19,167, 28,750.50 and 5,316 is: 7,974

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,167 : 28,750.50 = 5,316 : x
  2. Step 2: Convert to fraction form
    19,167/28,750.50 = 5,316/x
  3. Step 3: Cross multiply
    19,167x = 28,750.50 × 5,316
  4. Step 4: Simplify right side
    19,167x = 152,837,658
  5. Step 5: Solve for x
    x = 152,837,658/19,167
  6. Step 6: Final answer
    x = 7,974

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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.