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Finding the Fourth Proportional to 25,804, 38,673.60 and 13,957.30

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Solution

The fourth proportional to 25,804, 38,673.60 and 13,957.30 is: 20,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804 : 38,673.60 = 13,957.30 : x
  2. Step 2: Convert to fraction form
    25,804/38,673.60 = 13,957.30/x
  3. Step 3: Cross multiply
    25,804x = 38,673.60 × 13,957.30
  4. Step 4: Simplify right side
    25,804x = 539,779,037.28
  5. Step 5: Solve for x
    x = 539,779,037.28/25,804
  6. Step 6: Final answer
    x = 20,918.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.