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Finding the Fourth Proportional to 30,408, 45,574.56 and 21,595.20

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Solution

The fourth proportional to 30,408, 45,574.56 and 21,595.20 is: 32,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408 : 45,574.56 = 21,595.20 : x
  2. Step 2: Convert to fraction form
    30,408/45,574.56 = 21,595.20/x
  3. Step 3: Cross multiply
    30,408x = 45,574.56 × 21,595.20
  4. Step 4: Simplify right side
    30,408x = 984,191,738.11
  5. Step 5: Solve for x
    x = 984,191,738.11/30,408
  6. Step 6: Final answer
    x = 32,366.21

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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.