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Finding the Fourth Proportional to 14,307.09, 19,743.71 and 8,019.51

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Solution

The fourth proportional to 14,307.09, 19,743.71 and 8,019.51 is: 11,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.09 : 19,743.71 = 8,019.51 : x
  2. Step 2: Convert to fraction form
    14,307.09/19,743.71 = 8,019.51/x
  3. Step 3: Cross multiply
    14,307.09x = 19,743.71 × 8,019.51
  4. Step 4: Simplify right side
    14,307.09x = 158,334,839.68
  5. Step 5: Solve for x
    x = 158,334,839.68/14,307.09
  6. Step 6: Final answer
    x = 11,066.88

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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.