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Finding the Fourth Proportional to 30,759.40, 46,122.70 and 15,931.54

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Solution

The fourth proportional to 30,759.40, 46,122.70 and 15,931.54 is: 23,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.40 : 46,122.70 = 15,931.54 : x
  2. Step 2: Convert to fraction form
    30,759.40/46,122.70 = 15,931.54/x
  3. Step 3: Cross multiply
    30,759.40x = 46,122.70 × 15,931.54
  4. Step 4: Simplify right side
    30,759.40x = 734,805,639.96
  5. Step 5: Solve for x
    x = 734,805,639.96/30,759.40
  6. Step 6: Final answer
    x = 23,888.82

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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.