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Finding the Fourth Proportional to 19,416, 26,779.50 and 13,457.64

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Solution

The fourth proportional to 19,416, 26,779.50 and 13,457.64 is: 18,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 26,779.50 = 13,457.64 : x
  2. Step 2: Convert to fraction form
    19,416/26,779.50 = 13,457.64/x
  3. Step 3: Cross multiply
    19,416x = 26,779.50 × 13,457.64
  4. Step 4: Simplify right side
    19,416x = 360,388,870.38
  5. Step 5: Solve for x
    x = 360,388,870.38/19,416
  6. Step 6: Final answer
    x = 18,561.44

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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.