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Finding the Fourth Proportional to 25,730, 35,507.40 and 13,954

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Solution

The fourth proportional to 25,730, 35,507.40 and 13,954 is: 19,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730 : 35,507.40 = 13,954 : x
  2. Step 2: Convert to fraction form
    25,730/35,507.40 = 13,954/x
  3. Step 3: Cross multiply
    25,730x = 35,507.40 × 13,954
  4. Step 4: Simplify right side
    25,730x = 495,470,259.60
  5. Step 5: Solve for x
    x = 495,470,259.60/25,730
  6. Step 6: Final answer
    x = 19,256.52

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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.