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Finding the Fourth Proportional to 30,449, 42,021.24 and 18,510.40

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Solution

The fourth proportional to 30,449, 42,021.24 and 18,510.40 is: 25,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449 : 42,021.24 = 18,510.40 : x
  2. Step 2: Convert to fraction form
    30,449/42,021.24 = 18,510.40/x
  3. Step 3: Cross multiply
    30,449x = 42,021.24 × 18,510.40
  4. Step 4: Simplify right side
    30,449x = 777,829,960.90
  5. Step 5: Solve for x
    x = 777,829,960.90/30,449
  6. Step 6: Final answer
    x = 25,545.34

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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.