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Finding the Fourth Proportional to 30,488.49, 45,736.98 and 9,430.23

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Solution

The fourth proportional to 30,488.49, 45,736.98 and 9,430.23 is: 14,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.49 : 45,736.98 = 9,430.23 : x
  2. Step 2: Convert to fraction form
    30,488.49/45,736.98 = 9,430.23/x
  3. Step 3: Cross multiply
    30,488.49x = 45,736.98 × 9,430.23
  4. Step 4: Simplify right side
    30,488.49x = 431,310,240.91
  5. Step 5: Solve for x
    x = 431,310,240.91/30,488.49
  6. Step 6: Final answer
    x = 14,146.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.