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Finding the Fourth Proportional to 13,293, 18,347.58 and 7,707.24

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Solution

The fourth proportional to 13,293, 18,347.58 and 7,707.24 is: 10,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293 : 18,347.58 = 7,707.24 : x
  2. Step 2: Convert to fraction form
    13,293/18,347.58 = 7,707.24/x
  3. Step 3: Cross multiply
    13,293x = 18,347.58 × 7,707.24
  4. Step 4: Simplify right side
    13,293x = 141,409,202.48
  5. Step 5: Solve for x
    x = 141,409,202.48/13,293
  6. Step 6: Final answer
    x = 10,637.87

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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.