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Finding the Fourth Proportional to 19,161, 28,741.50 and 5,310

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Solution

The fourth proportional to 19,161, 28,741.50 and 5,310 is: 7,965

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161 : 28,741.50 = 5,310 : x
  2. Step 2: Convert to fraction form
    19,161/28,741.50 = 5,310/x
  3. Step 3: Cross multiply
    19,161x = 28,741.50 × 5,310
  4. Step 4: Simplify right side
    19,161x = 152,617,365
  5. Step 5: Solve for x
    x = 152,617,365/19,161
  6. Step 6: Final answer
    x = 7,965

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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.