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Finding the Fourth Proportional to 31,509, 47,271.18 and 9,621

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Solution

The fourth proportional to 31,509, 47,271.18 and 9,621 is: 14,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509 : 47,271.18 = 9,621 : x
  2. Step 2: Convert to fraction form
    31,509/47,271.18 = 9,621/x
  3. Step 3: Cross multiply
    31,509x = 47,271.18 × 9,621
  4. Step 4: Simplify right side
    31,509x = 454,796,022.78
  5. Step 5: Solve for x
    x = 454,796,022.78/31,509
  6. Step 6: Final answer
    x = 14,433.85

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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.