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Finding the Fourth Proportional to 14,142.76, 19,517.70 and 7,855

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Solution

The fourth proportional to 14,142.76, 19,517.70 and 7,855 is: 10,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.76 : 19,517.70 = 7,855 : x
  2. Step 2: Convert to fraction form
    14,142.76/19,517.70 = 7,855/x
  3. Step 3: Cross multiply
    14,142.76x = 19,517.70 × 7,855
  4. Step 4: Simplify right side
    14,142.76x = 153,311,533.50
  5. Step 5: Solve for x
    x = 153,311,533.50/14,142.76
  6. Step 6: Final answer
    x = 10,840.28

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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.