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Finding the Fourth Proportional to 20,352.52, 30,476.94 and 9,937

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Solution

The fourth proportional to 20,352.52, 30,476.94 and 9,937 is: 14,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352.52 : 30,476.94 = 9,937 : x
  2. Step 2: Convert to fraction form
    20,352.52/30,476.94 = 9,937/x
  3. Step 3: Cross multiply
    20,352.52x = 30,476.94 × 9,937
  4. Step 4: Simplify right side
    20,352.52x = 302,849,352.78
  5. Step 5: Solve for x
    x = 302,849,352.78/20,352.52
  6. Step 6: Final answer
    x = 14,880.19

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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.