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Finding the Fourth Proportional to 35,184, 48,554.04 and 20,280

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Solution

The fourth proportional to 35,184, 48,554.04 and 20,280 is: 27,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,184 : 48,554.04 = 20,280 : x
  2. Step 2: Convert to fraction form
    35,184/48,554.04 = 20,280/x
  3. Step 3: Cross multiply
    35,184x = 48,554.04 × 20,280
  4. Step 4: Simplify right side
    35,184x = 984,675,931.20
  5. Step 5: Solve for x
    x = 984,675,931.20/35,184
  6. Step 6: Final answer
    x = 27,986.47

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Why These Related Problems?

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