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Finding the Fourth Proportional to 4,643.50, 6,965.25 and 1,907.50

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Solution

The fourth proportional to 4,643.50, 6,965.25 and 1,907.50 is: 2,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.50 : 6,965.25 = 1,907.50 : x
  2. Step 2: Convert to fraction form
    4,643.50/6,965.25 = 1,907.50/x
  3. Step 3: Cross multiply
    4,643.50x = 6,965.25 × 1,907.50
  4. Step 4: Simplify right side
    4,643.50x = 13,286,214.38
  5. Step 5: Solve for x
    x = 13,286,214.38/4,643.50
  6. Step 6: Final answer
    x = 2,861.25

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1.5x scale

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.