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Finding the Fourth Proportional to 30,195.88, 45,300.30 and 9,421

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Solution

The fourth proportional to 30,195.88, 45,300.30 and 9,421 is: 14,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.88 : 45,300.30 = 9,421 : x
  2. Step 2: Convert to fraction form
    30,195.88/45,300.30 = 9,421/x
  3. Step 3: Cross multiply
    30,195.88x = 45,300.30 × 9,421
  4. Step 4: Simplify right side
    30,195.88x = 426,774,126.30
  5. Step 5: Solve for x
    x = 426,774,126.30/30,195.88
  6. Step 6: Final answer
    x = 14,133.52

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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.