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Finding the Fourth Proportional to 19,656.72, 29,484.74 and 4,865.64

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Solution

The fourth proportional to 19,656.72, 29,484.74 and 4,865.64 is: 7,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656.72 : 29,484.74 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    19,656.72/29,484.74 = 4,865.64/x
  3. Step 3: Cross multiply
    19,656.72x = 29,484.74 × 4,865.64
  4. Step 4: Simplify right side
    19,656.72x = 143,462,106.01
  5. Step 5: Solve for x
    x = 143,462,106.01/19,656.72
  6. Step 6: Final answer
    x = 7,298.37

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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.