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Finding the Fourth Proportional to 17,857.55, 24,643.49 and 9,899.91

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Solution

The fourth proportional to 17,857.55, 24,643.49 and 9,899.91 is: 13,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.55 : 24,643.49 = 9,899.91 : x
  2. Step 2: Convert to fraction form
    17,857.55/24,643.49 = 9,899.91/x
  3. Step 3: Cross multiply
    17,857.55x = 24,643.49 × 9,899.91
  4. Step 4: Simplify right side
    17,857.55x = 243,968,283.59
  5. Step 5: Solve for x
    x = 243,968,283.59/17,857.55
  6. Step 6: Final answer
    x = 13,661.92

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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.