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Finding the Fourth Proportional to 30,858.72, 46,288.16 and 7,485.12

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Solution

The fourth proportional to 30,858.72, 46,288.16 and 7,485.12 is: 11,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.72 : 46,288.16 = 7,485.12 : x
  2. Step 2: Convert to fraction form
    30,858.72/46,288.16 = 7,485.12/x
  3. Step 3: Cross multiply
    30,858.72x = 46,288.16 × 7,485.12
  4. Step 4: Simplify right side
    30,858.72x = 346,472,432.18
  5. Step 5: Solve for x
    x = 346,472,432.18/30,858.72
  6. Step 6: Final answer
    x = 11,227.70

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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.