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Finding the Fourth Proportional to 30,700, 46,050 and 9,923.50

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Solution

The fourth proportional to 30,700, 46,050 and 9,923.50 is: 14,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700 : 46,050 = 9,923.50 : x
  2. Step 2: Convert to fraction form
    30,700/46,050 = 9,923.50/x
  3. Step 3: Cross multiply
    30,700x = 46,050 × 9,923.50
  4. Step 4: Simplify right side
    30,700x = 456,977,175
  5. Step 5: Solve for x
    x = 456,977,175/30,700
  6. Step 6: Final answer
    x = 14,885.25

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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.