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Finding the Fourth Proportional to 25,656.88, 35,409.40 and 14,478

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Solution

The fourth proportional to 25,656.88, 35,409.40 and 14,478 is: 19,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.88 : 35,409.40 = 14,478 : x
  2. Step 2: Convert to fraction form
    25,656.88/35,409.40 = 14,478/x
  3. Step 3: Cross multiply
    25,656.88x = 35,409.40 × 14,478
  4. Step 4: Simplify right side
    25,656.88x = 512,657,293.20
  5. Step 5: Solve for x
    x = 512,657,293.20/25,656.88
  6. Step 6: Final answer
    x = 19,981.28

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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.