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Finding the Fourth Proportional to 2,909.99, 4,364.93 and 830.01

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Solution

The fourth proportional to 2,909.99, 4,364.93 and 830.01 is: 1,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.99 : 4,364.93 = 830.01 : x
  2. Step 2: Convert to fraction form
    2,909.99/4,364.93 = 830.01/x
  3. Step 3: Cross multiply
    2,909.99x = 4,364.93 × 830.01
  4. Step 4: Simplify right side
    2,909.99x = 3,622,935.55
  5. Step 5: Solve for x
    x = 3,622,935.55/2,909.99
  6. Step 6: Final answer
    x = 1,245.00

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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.