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Finding the Fourth Proportional to 9,493, 13,100.40 and 5,301.28

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Solution

The fourth proportional to 9,493, 13,100.40 and 5,301.28 is: 7,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493 : 13,100.40 = 5,301.28 : x
  2. Step 2: Convert to fraction form
    9,493/13,100.40 = 5,301.28/x
  3. Step 3: Cross multiply
    9,493x = 13,100.40 × 5,301.28
  4. Step 4: Simplify right side
    9,493x = 69,448,888.51
  5. Step 5: Solve for x
    x = 69,448,888.51/9,493
  6. Step 6: Final answer
    x = 7,315.80

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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.