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Finding the Fourth Proportional to 15,902.90, 23,817.90 and 15,538.40

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Solution

The fourth proportional to 15,902.90, 23,817.90 and 15,538.40 is: 23,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.90 : 23,817.90 = 15,538.40 : x
  2. Step 2: Convert to fraction form
    15,902.90/23,817.90 = 15,538.40/x
  3. Step 3: Cross multiply
    15,902.90x = 23,817.90 × 15,538.40
  4. Step 4: Simplify right side
    15,902.90x = 370,092,057.36
  5. Step 5: Solve for x
    x = 370,092,057.36/15,902.90
  6. Step 6: Final answer
    x = 23,271.99

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1.5x scale

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.