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Finding the Fourth Proportional to 16,362.88, 22,580 and 9,289.12

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Solution

The fourth proportional to 16,362.88, 22,580 and 9,289.12 is: 12,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.88 : 22,580 = 9,289.12 : x
  2. Step 2: Convert to fraction form
    16,362.88/22,580 = 9,289.12/x
  3. Step 3: Cross multiply
    16,362.88x = 22,580 × 9,289.12
  4. Step 4: Simplify right side
    16,362.88x = 209,748,329.60
  5. Step 5: Solve for x
    x = 209,748,329.60/16,362.88
  6. Step 6: Final answer
    x = 12,818.55

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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.