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Finding the Fourth Proportional to 30,075, 41,502.90 and 16,646.25

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Solution

The fourth proportional to 30,075, 41,502.90 and 16,646.25 is: 22,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075 : 41,502.90 = 16,646.25 : x
  2. Step 2: Convert to fraction form
    30,075/41,502.90 = 16,646.25/x
  3. Step 3: Cross multiply
    30,075x = 41,502.90 × 16,646.25
  4. Step 4: Simplify right side
    30,075x = 690,867,649.13
  5. Step 5: Solve for x
    x = 690,867,649.13/30,075
  6. Step 6: Final answer
    x = 22,971.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.