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Finding the Fourth Proportional to 13,564.66, 18,721 and 7,899.50

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Solution

The fourth proportional to 13,564.66, 18,721 and 7,899.50 is: 10,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.66 : 18,721 = 7,899.50 : x
  2. Step 2: Convert to fraction form
    13,564.66/18,721 = 7,899.50/x
  3. Step 3: Cross multiply
    13,564.66x = 18,721 × 7,899.50
  4. Step 4: Simplify right side
    13,564.66x = 147,886,539.50
  5. Step 5: Solve for x
    x = 147,886,539.50/13,564.66
  6. Step 6: Final answer
    x = 10,902.34

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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.