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Finding the Fourth Proportional to 32,545, 48,817.50 and 7,921

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Solution

The fourth proportional to 32,545, 48,817.50 and 7,921 is: 11,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545 : 48,817.50 = 7,921 : x
  2. Step 2: Convert to fraction form
    32,545/48,817.50 = 7,921/x
  3. Step 3: Cross multiply
    32,545x = 48,817.50 × 7,921
  4. Step 4: Simplify right side
    32,545x = 386,683,417.50
  5. Step 5: Solve for x
    x = 386,683,417.50/32,545
  6. Step 6: Final answer
    x = 11,881.50

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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.