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Finding the Fourth Proportional to 30,507.72, 42,101.01 and 17,080.16

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Solution

The fourth proportional to 30,507.72, 42,101.01 and 17,080.16 is: 23,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507.72 : 42,101.01 = 17,080.16 : x
  2. Step 2: Convert to fraction form
    30,507.72/42,101.01 = 17,080.16/x
  3. Step 3: Cross multiply
    30,507.72x = 42,101.01 × 17,080.16
  4. Step 4: Simplify right side
    30,507.72x = 719,091,776.46
  5. Step 5: Solve for x
    x = 719,091,776.46/30,507.72
  6. Step 6: Final answer
    x = 23,570.81

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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.