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Finding the Fourth Proportional to 15,477, 21,357.72 and 8,403.30

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Solution

The fourth proportional to 15,477, 21,357.72 and 8,403.30 is: 11,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477 : 21,357.72 = 8,403.30 : x
  2. Step 2: Convert to fraction form
    15,477/21,357.72 = 8,403.30/x
  3. Step 3: Cross multiply
    15,477x = 21,357.72 × 8,403.30
  4. Step 4: Simplify right side
    15,477x = 179,475,328.48
  5. Step 5: Solve for x
    x = 179,475,328.48/15,477
  6. Step 6: Final answer
    x = 11,596.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.