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Finding the Fourth Proportional to 13,735.79, 18,955.36 and 7,448.16

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Solution

The fourth proportional to 13,735.79, 18,955.36 and 7,448.16 is: 10,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.79 : 18,955.36 = 7,448.16 : x
  2. Step 2: Convert to fraction form
    13,735.79/18,955.36 = 7,448.16/x
  3. Step 3: Cross multiply
    13,735.79x = 18,955.36 × 7,448.16
  4. Step 4: Simplify right side
    13,735.79x = 141,182,554.14
  5. Step 5: Solve for x
    x = 141,182,554.14/13,735.79
  6. Step 6: Final answer
    x = 10,278.44

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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.