Home / 13,100-19,623.72-6,506.24

Finding the Fourth Proportional to 13,100, 19,623.72 and 6,506.24

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Solution

The fourth proportional to 13,100, 19,623.72 and 6,506.24 is: 9,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 19,623.72 = 6,506.24 : x
  2. Step 2: Convert to fraction form
    13,100/19,623.72 = 6,506.24/x
  3. Step 3: Cross multiply
    13,100x = 19,623.72 × 6,506.24
  4. Step 4: Simplify right side
    13,100x = 127,676,632.01
  5. Step 5: Solve for x
    x = 127,676,632.01/13,100
  6. Step 6: Final answer
    x = 9,746.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.