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Finding the Fourth Proportional to 30,952.36, 46,428.07 and 7,578.80

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Solution

The fourth proportional to 30,952.36, 46,428.07 and 7,578.80 is: 11,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.36 : 46,428.07 = 7,578.80 : x
  2. Step 2: Convert to fraction form
    30,952.36/46,428.07 = 7,578.80/x
  3. Step 3: Cross multiply
    30,952.36x = 46,428.07 × 7,578.80
  4. Step 4: Simplify right side
    30,952.36x = 351,869,056.92
  5. Step 5: Solve for x
    x = 351,869,056.92/30,952.36
  6. Step 6: Final answer
    x = 11,368.08

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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.