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Finding the Fourth Proportional to 30,985, 46,484.79 and 10,208.50

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Solution

The fourth proportional to 30,985, 46,484.79 and 10,208.50 is: 15,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985 : 46,484.79 = 10,208.50 : x
  2. Step 2: Convert to fraction form
    30,985/46,484.79 = 10,208.50/x
  3. Step 3: Cross multiply
    30,985x = 46,484.79 × 10,208.50
  4. Step 4: Simplify right side
    30,985x = 474,539,978.72
  5. Step 5: Solve for x
    x = 474,539,978.72/30,985
  6. Step 6: Final answer
    x = 15,315.15

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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.