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Finding the Fourth Proportional to 46,698.40, 69,986.80 and 18,964

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Solution

The fourth proportional to 46,698.40, 69,986.80 and 18,964 is: 28,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.40 : 69,986.80 = 18,964 : x
  2. Step 2: Convert to fraction form
    46,698.40/69,986.80 = 18,964/x
  3. Step 3: Cross multiply
    46,698.40x = 69,986.80 × 18,964
  4. Step 4: Simplify right side
    46,698.40x = 1,327,229,675.20
  5. Step 5: Solve for x
    x = 1,327,229,675.20/46,698.40
  6. Step 6: Final answer
    x = 28,421.31

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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.