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Finding the Fourth Proportional to 4,213, 6,319.50 and 1,135

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Solution

The fourth proportional to 4,213, 6,319.50 and 1,135 is: 1,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,319.50 = 1,135 : x
  2. Step 2: Convert to fraction form
    4,213/6,319.50 = 1,135/x
  3. Step 3: Cross multiply
    4,213x = 6,319.50 × 1,135
  4. Step 4: Simplify right side
    4,213x = 7,172,632.50
  5. Step 5: Solve for x
    x = 7,172,632.50/4,213
  6. Step 6: Final answer
    x = 1,702.50

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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.