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Finding the Fourth Proportional to 13,220.68, 19,804.57 and 7,952.78

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Solution

The fourth proportional to 13,220.68, 19,804.57 and 7,952.78 is: 11,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.68 : 19,804.57 = 7,952.78 : x
  2. Step 2: Convert to fraction form
    13,220.68/19,804.57 = 7,952.78/x
  3. Step 3: Cross multiply
    13,220.68x = 19,804.57 × 7,952.78
  4. Step 4: Simplify right side
    13,220.68x = 157,501,417.83
  5. Step 5: Solve for x
    x = 157,501,417.83/13,220.68
  6. Step 6: Final answer
    x = 11,913.26

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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.