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Finding the Fourth Proportional to 13,215.67, 19,814.65 and 6,969.08

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Solution

The fourth proportional to 13,215.67, 19,814.65 and 6,969.08 is: 10,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.67 : 19,814.65 = 6,969.08 : x
  2. Step 2: Convert to fraction form
    13,215.67/19,814.65 = 6,969.08/x
  3. Step 3: Cross multiply
    13,215.67x = 19,814.65 × 6,969.08
  4. Step 4: Simplify right side
    13,215.67x = 138,089,881.02
  5. Step 5: Solve for x
    x = 138,089,881.02/13,215.67
  6. Step 6: Final answer
    x = 10,448.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.