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Finding the Fourth Proportional to 9,200.94, 13,798.53 and 3,043.50

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Solution

The fourth proportional to 9,200.94, 13,798.53 and 3,043.50 is: 4,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.94 : 13,798.53 = 3,043.50 : x
  2. Step 2: Convert to fraction form
    9,200.94/13,798.53 = 3,043.50/x
  3. Step 3: Cross multiply
    9,200.94x = 13,798.53 × 3,043.50
  4. Step 4: Simplify right side
    9,200.94x = 41,995,826.06
  5. Step 5: Solve for x
    x = 41,995,826.06/9,200.94
  6. Step 6: Final answer
    x = 4,564.30

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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.