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Finding the Fourth Proportional to 35,870, 53,779.56 and 16,887.68

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Solution

The fourth proportional to 35,870, 53,779.56 and 16,887.68 is: 25,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,870 : 53,779.56 = 16,887.68 : x
  2. Step 2: Convert to fraction form
    35,870/53,779.56 = 16,887.68/x
  3. Step 3: Cross multiply
    35,870x = 53,779.56 × 16,887.68
  4. Step 4: Simplify right side
    35,870x = 908,211,999.82
  5. Step 5: Solve for x
    x = 908,211,999.82/35,870
  6. Step 6: Final answer
    x = 25,319.54

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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.