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Finding the Fourth Proportional to 28,948, 39,982.80 and 19,500.16

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Solution

The fourth proportional to 28,948, 39,982.80 and 19,500.16 is: 26,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,948 : 39,982.80 = 19,500.16 : x
  2. Step 2: Convert to fraction form
    28,948/39,982.80 = 19,500.16/x
  3. Step 3: Cross multiply
    28,948x = 39,982.80 × 19,500.16
  4. Step 4: Simplify right side
    28,948x = 779,670,997.25
  5. Step 5: Solve for x
    x = 779,670,997.25/28,948
  6. Step 6: Final answer
    x = 26,933.50

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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.