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Finding the Fourth Proportional to 13,478.69, 18,599.78 and 7,509.30

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Solution

The fourth proportional to 13,478.69, 18,599.78 and 7,509.30 is: 10,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.69 : 18,599.78 = 7,509.30 : x
  2. Step 2: Convert to fraction form
    13,478.69/18,599.78 = 7,509.30/x
  3. Step 3: Cross multiply
    13,478.69x = 18,599.78 × 7,509.30
  4. Step 4: Simplify right side
    13,478.69x = 139,671,234.96
  5. Step 5: Solve for x
    x = 139,671,234.96/13,478.69
  6. Step 6: Final answer
    x = 10,362.37

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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.