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Finding the Fourth Proportional to 9,573, 14,359.38 and 3,332.98

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Solution

The fourth proportional to 9,573, 14,359.38 and 3,332.98 is: 4,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 14,359.38 = 3,332.98 : x
  2. Step 2: Convert to fraction form
    9,573/14,359.38 = 3,332.98/x
  3. Step 3: Cross multiply
    9,573x = 14,359.38 × 3,332.98
  4. Step 4: Simplify right side
    9,573x = 47,859,526.35
  5. Step 5: Solve for x
    x = 47,859,526.35/9,573
  6. Step 6: Final answer
    x = 4,999.43

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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.