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Finding the Fourth Proportional to 30,763.43, 46,145.15 and 9,986.93

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Solution

The fourth proportional to 30,763.43, 46,145.15 and 9,986.93 is: 14,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.43 : 46,145.15 = 9,986.93 : x
  2. Step 2: Convert to fraction form
    30,763.43/46,145.15 = 9,986.93/x
  3. Step 3: Cross multiply
    30,763.43x = 46,145.15 × 9,986.93
  4. Step 4: Simplify right side
    30,763.43x = 460,848,382.89
  5. Step 5: Solve for x
    x = 460,848,382.89/30,763.43
  6. Step 6: Final answer
    x = 14,980.40

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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.