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Finding the Fourth Proportional to 30,465.32, 45,689.34 and 11,993

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Solution

The fourth proportional to 30,465.32, 45,689.34 and 11,993 is: 17,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.32 : 45,689.34 = 11,993 : x
  2. Step 2: Convert to fraction form
    30,465.32/45,689.34 = 11,993/x
  3. Step 3: Cross multiply
    30,465.32x = 45,689.34 × 11,993
  4. Step 4: Simplify right side
    30,465.32x = 547,952,254.62
  5. Step 5: Solve for x
    x = 547,952,254.62/30,465.32
  6. Step 6: Final answer
    x = 17,986.10

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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.