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Finding the Fourth Proportional to 15,873.14, 21,899.09 and 9,499.88

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Solution

The fourth proportional to 15,873.14, 21,899.09 and 9,499.88 is: 13,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.14 : 21,899.09 = 9,499.88 : x
  2. Step 2: Convert to fraction form
    15,873.14/21,899.09 = 9,499.88/x
  3. Step 3: Cross multiply
    15,873.14x = 21,899.09 × 9,499.88
  4. Step 4: Simplify right side
    15,873.14x = 208,038,570.11
  5. Step 5: Solve for x
    x = 208,038,570.11/15,873.14
  6. Step 6: Final answer
    x = 13,106.33

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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.