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Finding the Fourth Proportional to 25,730.70, 35,509 and 14,400.11

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Solution

The fourth proportional to 25,730.70, 35,509 and 14,400.11 is: 19,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.70 : 35,509 = 14,400.11 : x
  2. Step 2: Convert to fraction form
    25,730.70/35,509 = 14,400.11/x
  3. Step 3: Cross multiply
    25,730.70x = 35,509 × 14,400.11
  4. Step 4: Simplify right side
    25,730.70x = 511,333,328.45
  5. Step 5: Solve for x
    x = 511,333,328.45/25,730.70
  6. Step 6: Final answer
    x = 19,872.50

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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.