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Finding the Fourth Proportional to 32,509.40, 48,764.10 and 12,781.40

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Solution

The fourth proportional to 32,509.40, 48,764.10 and 12,781.40 is: 19,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.40 : 48,764.10 = 12,781.40 : x
  2. Step 2: Convert to fraction form
    32,509.40/48,764.10 = 12,781.40/x
  3. Step 3: Cross multiply
    32,509.40x = 48,764.10 × 12,781.40
  4. Step 4: Simplify right side
    32,509.40x = 623,273,467.74
  5. Step 5: Solve for x
    x = 623,273,467.74/32,509.40
  6. Step 6: Final answer
    x = 19,172.10

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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.