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Finding the Fourth Proportional to 2,984.04, 4,476.09 and 904.05

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Solution

The fourth proportional to 2,984.04, 4,476.09 and 904.05 is: 1,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.04 : 4,476.09 = 904.05 : x
  2. Step 2: Convert to fraction form
    2,984.04/4,476.09 = 904.05/x
  3. Step 3: Cross multiply
    2,984.04x = 4,476.09 × 904.05
  4. Step 4: Simplify right side
    2,984.04x = 4,046,609.16
  5. Step 5: Solve for x
    x = 4,046,609.16/2,984.04
  6. Step 6: Final answer
    x = 1,356.08

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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.