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Finding the Fourth Proportional to 32,312, 48,468 and 8,619.62

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Solution

The fourth proportional to 32,312, 48,468 and 8,619.62 is: 12,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312 : 48,468 = 8,619.62 : x
  2. Step 2: Convert to fraction form
    32,312/48,468 = 8,619.62/x
  3. Step 3: Cross multiply
    32,312x = 48,468 × 8,619.62
  4. Step 4: Simplify right side
    32,312x = 417,775,742.16
  5. Step 5: Solve for x
    x = 417,775,742.16/32,312
  6. Step 6: Final answer
    x = 12,929.43

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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.