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Finding the Fourth Proportional to 30,908.16, 42,647.04 and 19,582.08

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Solution

The fourth proportional to 30,908.16, 42,647.04 and 19,582.08 is: 27,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.16 : 42,647.04 = 19,582.08 : x
  2. Step 2: Convert to fraction form
    30,908.16/42,647.04 = 19,582.08/x
  3. Step 3: Cross multiply
    30,908.16x = 42,647.04 × 19,582.08
  4. Step 4: Simplify right side
    30,908.16x = 835,117,749.04
  5. Step 5: Solve for x
    x = 835,117,749.04/30,908.16
  6. Step 6: Final answer
    x = 27,019.33

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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.