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Finding the Fourth Proportional to 15,424.60, 23,136.90 and 7,648.60

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Solution

The fourth proportional to 15,424.60, 23,136.90 and 7,648.60 is: 11,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.60 : 23,136.90 = 7,648.60 : x
  2. Step 2: Convert to fraction form
    15,424.60/23,136.90 = 7,648.60/x
  3. Step 3: Cross multiply
    15,424.60x = 23,136.90 × 7,648.60
  4. Step 4: Simplify right side
    15,424.60x = 176,964,893.34
  5. Step 5: Solve for x
    x = 176,964,893.34/15,424.60
  6. Step 6: Final answer
    x = 11,472.90

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1.5x scale

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.