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Finding the Fourth Proportional to 15,903.94, 21,951.42 and 9,193.46

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Solution

The fourth proportional to 15,903.94, 21,951.42 and 9,193.46 is: 12,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.94 : 21,951.42 = 9,193.46 : x
  2. Step 2: Convert to fraction form
    15,903.94/21,951.42 = 9,193.46/x
  3. Step 3: Cross multiply
    15,903.94x = 21,951.42 × 9,193.46
  4. Step 4: Simplify right side
    15,903.94x = 201,809,501.71
  5. Step 5: Solve for x
    x = 201,809,501.71/15,903.94
  6. Step 6: Final answer
    x = 12,689.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.