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Finding the Fourth Proportional to 14,126.78, 19,495.08 and 7,839.26

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Solution

The fourth proportional to 14,126.78, 19,495.08 and 7,839.26 is: 10,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.78 : 19,495.08 = 7,839.26 : x
  2. Step 2: Convert to fraction form
    14,126.78/19,495.08 = 7,839.26/x
  3. Step 3: Cross multiply
    14,126.78x = 19,495.08 × 7,839.26
  4. Step 4: Simplify right side
    14,126.78x = 152,827,000.84
  5. Step 5: Solve for x
    x = 152,827,000.84/14,126.78
  6. Step 6: Final answer
    x = 10,818.25

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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.