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Finding the Fourth Proportional to 30,878.70, 46,282.29 and 14,203.74

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Solution

The fourth proportional to 30,878.70, 46,282.29 and 14,203.74 is: 21,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.70 : 46,282.29 = 14,203.74 : x
  2. Step 2: Convert to fraction form
    30,878.70/46,282.29 = 14,203.74/x
  3. Step 3: Cross multiply
    30,878.70x = 46,282.29 × 14,203.74
  4. Step 4: Simplify right side
    30,878.70x = 657,381,473.72
  5. Step 5: Solve for x
    x = 657,381,473.72/30,878.70
  6. Step 6: Final answer
    x = 21,289.16

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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.