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Finding the Fourth Proportional to 13,003, 19,518.56 and 6,443.07

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Solution

The fourth proportional to 13,003, 19,518.56 and 6,443.07 is: 9,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003 : 19,518.56 = 6,443.07 : x
  2. Step 2: Convert to fraction form
    13,003/19,518.56 = 6,443.07/x
  3. Step 3: Cross multiply
    13,003x = 19,518.56 × 6,443.07
  4. Step 4: Simplify right side
    13,003x = 125,759,448.38
  5. Step 5: Solve for x
    x = 125,759,448.38/13,003
  6. Step 6: Final answer
    x = 9,671.57

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1.5x scale

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.