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Finding the Fourth Proportional to 30,709.88, 46,074.54 and 10,988

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Solution

The fourth proportional to 30,709.88, 46,074.54 and 10,988 is: 16,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.88 : 46,074.54 = 10,988 : x
  2. Step 2: Convert to fraction form
    30,709.88/46,074.54 = 10,988/x
  3. Step 3: Cross multiply
    30,709.88x = 46,074.54 × 10,988
  4. Step 4: Simplify right side
    30,709.88x = 506,267,045.52
  5. Step 5: Solve for x
    x = 506,267,045.52/30,709.88
  6. Step 6: Final answer
    x = 16,485.48

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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.