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Finding the Fourth Proportional to 30,378.48, 45,592.02 and 12,860.52

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Solution

The fourth proportional to 30,378.48, 45,592.02 and 12,860.52 is: 19,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.48 : 45,592.02 = 12,860.52 : x
  2. Step 2: Convert to fraction form
    30,378.48/45,592.02 = 12,860.52/x
  3. Step 3: Cross multiply
    30,378.48x = 45,592.02 × 12,860.52
  4. Step 4: Simplify right side
    30,378.48x = 586,337,085.05
  5. Step 5: Solve for x
    x = 586,337,085.05/30,378.48
  6. Step 6: Final answer
    x = 19,301.07

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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.