Home / 30,970.26-46,456-9,914.32

Finding the Fourth Proportional to 30,970.26, 46,456 and 9,914.32

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Solution

The fourth proportional to 30,970.26, 46,456 and 9,914.32 is: 14,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.26 : 46,456 = 9,914.32 : x
  2. Step 2: Convert to fraction form
    30,970.26/46,456 = 9,914.32/x
  3. Step 3: Cross multiply
    30,970.26x = 46,456 × 9,914.32
  4. Step 4: Simplify right side
    30,970.26x = 460,579,649.92
  5. Step 5: Solve for x
    x = 460,579,649.92/30,970.26
  6. Step 6: Final answer
    x = 14,871.68

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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.