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Finding the Fourth Proportional to 30,645.74, 42,308.86 and 20,053.86

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Solution

The fourth proportional to 30,645.74, 42,308.86 and 20,053.86 is: 27,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.74 : 42,308.86 = 20,053.86 : x
  2. Step 2: Convert to fraction form
    30,645.74/42,308.86 = 20,053.86/x
  3. Step 3: Cross multiply
    30,645.74x = 42,308.86 × 20,053.86
  4. Step 4: Simplify right side
    30,645.74x = 848,455,955.20
  5. Step 5: Solve for x
    x = 848,455,955.20/30,645.74
  6. Step 6: Final answer
    x = 27,685.93

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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.