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Finding the Fourth Proportional to 25,702.50, 35,462.98 and 15,090.09

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Solution

The fourth proportional to 25,702.50, 35,462.98 and 15,090.09 is: 20,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.50 : 35,462.98 = 15,090.09 : x
  2. Step 2: Convert to fraction form
    25,702.50/35,462.98 = 15,090.09/x
  3. Step 3: Cross multiply
    25,702.50x = 35,462.98 × 15,090.09
  4. Step 4: Simplify right side
    25,702.50x = 535,139,559.87
  5. Step 5: Solve for x
    x = 535,139,559.87/25,702.50
  6. Step 6: Final answer
    x = 20,820.53

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1.5x scale

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.