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Finding the Fourth Proportional to 3,094.45, 4,642.13 and 902.89

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Solution

The fourth proportional to 3,094.45, 4,642.13 and 902.89 is: 1,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.45 : 4,642.13 = 902.89 : x
  2. Step 2: Convert to fraction form
    3,094.45/4,642.13 = 902.89/x
  3. Step 3: Cross multiply
    3,094.45x = 4,642.13 × 902.89
  4. Step 4: Simplify right side
    3,094.45x = 4,191,332.76
  5. Step 5: Solve for x
    x = 4,191,332.76/3,094.45
  6. Step 6: Final answer
    x = 1,354.47

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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.