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Finding the Fourth Proportional to 17,857.65, 24,643.73 and 9,900.05

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Solution

The fourth proportional to 17,857.65, 24,643.73 and 9,900.05 is: 13,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.65 : 24,643.73 = 9,900.05 : x
  2. Step 2: Convert to fraction form
    17,857.65/24,643.73 = 9,900.05/x
  3. Step 3: Cross multiply
    17,857.65x = 24,643.73 × 9,900.05
  4. Step 4: Simplify right side
    17,857.65x = 243,974,116.11
  5. Step 5: Solve for x
    x = 243,974,116.11/17,857.65
  6. Step 6: Final answer
    x = 13,662.16

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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.