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Finding the Fourth Proportional to 30,739.86, 42,421.86 and 18,802.98

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Solution

The fourth proportional to 30,739.86, 42,421.86 and 18,802.98 is: 25,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.86 : 42,421.86 = 18,802.98 : x
  2. Step 2: Convert to fraction form
    30,739.86/42,421.86 = 18,802.98/x
  3. Step 3: Cross multiply
    30,739.86x = 42,421.86 × 18,802.98
  4. Step 4: Simplify right side
    30,739.86x = 797,657,385.14
  5. Step 5: Solve for x
    x = 797,657,385.14/30,739.86
  6. Step 6: Final answer
    x = 25,948.63

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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.