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Finding the Fourth Proportional to 13,078.08, 18,045.72 and 7,488

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Solution

The fourth proportional to 13,078.08, 18,045.72 and 7,488 is: 10,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.08 : 18,045.72 = 7,488 : x
  2. Step 2: Convert to fraction form
    13,078.08/18,045.72 = 7,488/x
  3. Step 3: Cross multiply
    13,078.08x = 18,045.72 × 7,488
  4. Step 4: Simplify right side
    13,078.08x = 135,126,351.36
  5. Step 5: Solve for x
    x = 135,126,351.36/13,078.08
  6. Step 6: Final answer
    x = 10,332.28

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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.