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Finding the Fourth Proportional to 25,410, 35,065.80 and 14,235.60

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Solution

The fourth proportional to 25,410, 35,065.80 and 14,235.60 is: 19,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410 : 35,065.80 = 14,235.60 : x
  2. Step 2: Convert to fraction form
    25,410/35,065.80 = 14,235.60/x
  3. Step 3: Cross multiply
    25,410x = 35,065.80 × 14,235.60
  4. Step 4: Simplify right side
    25,410x = 499,182,702.48
  5. Step 5: Solve for x
    x = 499,182,702.48/25,410
  6. Step 6: Final answer
    x = 19,645.13

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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.