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Finding the Fourth Proportional to 17,855.64, 24,639.90 and 9,897.81

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Solution

The fourth proportional to 17,855.64, 24,639.90 and 9,897.81 is: 13,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.64 : 24,639.90 = 9,897.81 : x
  2. Step 2: Convert to fraction form
    17,855.64/24,639.90 = 9,897.81/x
  3. Step 3: Cross multiply
    17,855.64x = 24,639.90 × 9,897.81
  4. Step 4: Simplify right side
    17,855.64x = 243,881,048.62
  5. Step 5: Solve for x
    x = 243,881,048.62/17,855.64
  6. Step 6: Final answer
    x = 13,658.49

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1.5x scale

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.