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Finding the Fourth Proportional to 30,565.86, 42,199.29 and 19,973.22

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Solution

The fourth proportional to 30,565.86, 42,199.29 and 19,973.22 is: 27,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.86 : 42,199.29 = 19,973.22 : x
  2. Step 2: Convert to fraction form
    30,565.86/42,199.29 = 19,973.22/x
  3. Step 3: Cross multiply
    30,565.86x = 42,199.29 × 19,973.22
  4. Step 4: Simplify right side
    30,565.86x = 842,855,703.01
  5. Step 5: Solve for x
    x = 842,855,703.01/30,565.86
  6. Step 6: Final answer
    x = 27,575.07

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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.