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Finding the Fourth Proportional to 30,678.99, 42,336.80 and 17,430.99

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Solution

The fourth proportional to 30,678.99, 42,336.80 and 17,430.99 is: 24,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.99 : 42,336.80 = 17,430.99 : x
  2. Step 2: Convert to fraction form
    30,678.99/42,336.80 = 17,430.99/x
  3. Step 3: Cross multiply
    30,678.99x = 42,336.80 × 17,430.99
  4. Step 4: Simplify right side
    30,678.99x = 737,972,250.28
  5. Step 5: Solve for x
    x = 737,972,250.28/30,678.99
  6. Step 6: Final answer
    x = 24,054.65

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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.