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Finding the Fourth Proportional to 30,972.49, 46,461.80 and 9,907.25

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Solution

The fourth proportional to 30,972.49, 46,461.80 and 9,907.25 is: 14,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.49 : 46,461.80 = 9,907.25 : x
  2. Step 2: Convert to fraction form
    30,972.49/46,461.80 = 9,907.25/x
  3. Step 3: Cross multiply
    30,972.49x = 46,461.80 × 9,907.25
  4. Step 4: Simplify right side
    30,972.49x = 460,308,460.51
  5. Step 5: Solve for x
    x = 460,308,460.51/30,972.49
  6. Step 6: Final answer
    x = 14,861.85

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1.5x scale

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.