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Finding the Fourth Proportional to 14,064, 19,406.64 and 7,775.52

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Solution

The fourth proportional to 14,064, 19,406.64 and 7,775.52 is: 10,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064 : 19,406.64 = 7,775.52 : x
  2. Step 2: Convert to fraction form
    14,064/19,406.64 = 7,775.52/x
  3. Step 3: Cross multiply
    14,064x = 19,406.64 × 7,775.52
  4. Step 4: Simplify right side
    14,064x = 150,896,717.45
  5. Step 5: Solve for x
    x = 150,896,717.45/14,064
  6. Step 6: Final answer
    x = 10,729.29

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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.