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Finding the Fourth Proportional to 12,998.48, 19,509.84 and 7,147.04

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Solution

The fourth proportional to 12,998.48, 19,509.84 and 7,147.04 is: 10,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.48 : 19,509.84 = 7,147.04 : x
  2. Step 2: Convert to fraction form
    12,998.48/19,509.84 = 7,147.04/x
  3. Step 3: Cross multiply
    12,998.48x = 19,509.84 × 7,147.04
  4. Step 4: Simplify right side
    12,998.48x = 139,437,606.87
  5. Step 5: Solve for x
    x = 139,437,606.87/12,998.48
  6. Step 6: Final answer
    x = 10,727.22

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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.