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Finding the Fourth Proportional to 13,478, 18,599.04 and 7,509.92

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Solution

The fourth proportional to 13,478, 18,599.04 and 7,509.92 is: 10,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 18,599.04 = 7,509.92 : x
  2. Step 2: Convert to fraction form
    13,478/18,599.04 = 7,509.92/x
  3. Step 3: Cross multiply
    13,478x = 18,599.04 × 7,509.92
  4. Step 4: Simplify right side
    13,478x = 139,677,302.48
  5. Step 5: Solve for x
    x = 139,677,302.48/13,478
  6. Step 6: Final answer
    x = 10,363.36

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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.