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Finding the Fourth Proportional to 35,085.10, 48,412.07 and 19,978.38

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Solution

The fourth proportional to 35,085.10, 48,412.07 and 19,978.38 is: 27,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,085.10 : 48,412.07 = 19,978.38 : x
  2. Step 2: Convert to fraction form
    35,085.10/48,412.07 = 19,978.38/x
  3. Step 3: Cross multiply
    35,085.10x = 48,412.07 × 19,978.38
  4. Step 4: Simplify right side
    35,085.10x = 967,194,731.05
  5. Step 5: Solve for x
    x = 967,194,731.05/35,085.10
  6. Step 6: Final answer
    x = 27,567.11

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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.