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Finding the Fourth Proportional to 2,984.64, 4,113.12 and 2,199.04

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Solution

The fourth proportional to 2,984.64, 4,113.12 and 2,199.04 is: 3,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.64 : 4,113.12 = 2,199.04 : x
  2. Step 2: Convert to fraction form
    2,984.64/4,113.12 = 2,199.04/x
  3. Step 3: Cross multiply
    2,984.64x = 4,113.12 × 2,199.04
  4. Step 4: Simplify right side
    2,984.64x = 9,044,915.40
  5. Step 5: Solve for x
    x = 9,044,915.40/2,984.64
  6. Step 6: Final answer
    x = 3,030.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.