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Finding the Fourth Proportional to 19,141, 28,711.50 and 5,290

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Solution

The fourth proportional to 19,141, 28,711.50 and 5,290 is: 7,935

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141 : 28,711.50 = 5,290 : x
  2. Step 2: Convert to fraction form
    19,141/28,711.50 = 5,290/x
  3. Step 3: Cross multiply
    19,141x = 28,711.50 × 5,290
  4. Step 4: Simplify right side
    19,141x = 151,883,835
  5. Step 5: Solve for x
    x = 151,883,835/19,141
  6. Step 6: Final answer
    x = 7,935

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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.