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Finding the Fourth Proportional to 7,184.63, 10,776.95 and 1,990.50

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Solution

The fourth proportional to 7,184.63, 10,776.95 and 1,990.50 is: 2,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.63 : 10,776.95 = 1,990.50 : x
  2. Step 2: Convert to fraction form
    7,184.63/10,776.95 = 1,990.50/x
  3. Step 3: Cross multiply
    7,184.63x = 10,776.95 × 1,990.50
  4. Step 4: Simplify right side
    7,184.63x = 21,451,509.02
  5. Step 5: Solve for x
    x = 21,451,509.02/7,184.63
  6. Step 6: Final answer
    x = 2,985.75

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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.