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Finding the Fourth Proportional to 32,421, 48,646.14 and 18,570

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Solution

The fourth proportional to 32,421, 48,646.14 and 18,570 is: 27,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421 : 48,646.14 = 18,570 : x
  2. Step 2: Convert to fraction form
    32,421/48,646.14 = 18,570/x
  3. Step 3: Cross multiply
    32,421x = 48,646.14 × 18,570
  4. Step 4: Simplify right side
    32,421x = 903,358,819.80
  5. Step 5: Solve for x
    x = 903,358,819.80/32,421
  6. Step 6: Final answer
    x = 27,863.39

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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.