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Finding the Fourth Proportional to 13,047.10, 18,005.07 and 7,078.78

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Solution

The fourth proportional to 13,047.10, 18,005.07 and 7,078.78 is: 9,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.10 : 18,005.07 = 7,078.78 : x
  2. Step 2: Convert to fraction form
    13,047.10/18,005.07 = 7,078.78/x
  3. Step 3: Cross multiply
    13,047.10x = 18,005.07 × 7,078.78
  4. Step 4: Simplify right side
    13,047.10x = 127,453,929.41
  5. Step 5: Solve for x
    x = 127,453,929.41/13,047.10
  6. Step 6: Final answer
    x = 9,768.76

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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.