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Finding the Fourth Proportional to 19,757.45, 27,275.20 and 13,417.45

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Solution

The fourth proportional to 19,757.45, 27,275.20 and 13,417.45 is: 18,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.45 : 27,275.20 = 13,417.45 : x
  2. Step 2: Convert to fraction form
    19,757.45/27,275.20 = 13,417.45/x
  3. Step 3: Cross multiply
    19,757.45x = 27,275.20 × 13,417.45
  4. Step 4: Simplify right side
    19,757.45x = 365,963,530.51
  5. Step 5: Solve for x
    x = 365,963,530.51/19,757.45
  6. Step 6: Final answer
    x = 18,522.81

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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.