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Finding the Fourth Proportional to 30,443.64, 42,007.10 and 17,015.01

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Solution

The fourth proportional to 30,443.64, 42,007.10 and 17,015.01 is: 23,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.64 : 42,007.10 = 17,015.01 : x
  2. Step 2: Convert to fraction form
    30,443.64/42,007.10 = 17,015.01/x
  3. Step 3: Cross multiply
    30,443.64x = 42,007.10 × 17,015.01
  4. Step 4: Simplify right side
    30,443.64x = 714,751,141.50
  5. Step 5: Solve for x
    x = 714,751,141.50/30,443.64
  6. Step 6: Final answer
    x = 23,477.85

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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.