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Finding the Fourth Proportional to 13,509.68, 18,647.34 and 7,845.80

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Solution

The fourth proportional to 13,509.68, 18,647.34 and 7,845.80 is: 10,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.68 : 18,647.34 = 7,845.80 : x
  2. Step 2: Convert to fraction form
    13,509.68/18,647.34 = 7,845.80/x
  3. Step 3: Cross multiply
    13,509.68x = 18,647.34 × 7,845.80
  4. Step 4: Simplify right side
    13,509.68x = 146,303,300.17
  5. Step 5: Solve for x
    x = 146,303,300.17/13,509.68
  6. Step 6: Final answer
    x = 10,829.52

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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.