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Finding the Fourth Proportional to 16,485.61, 22,749.49 and 9,678.71

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Solution

The fourth proportional to 16,485.61, 22,749.49 and 9,678.71 is: 13,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.61 : 22,749.49 = 9,678.71 : x
  2. Step 2: Convert to fraction form
    16,485.61/22,749.49 = 9,678.71/x
  3. Step 3: Cross multiply
    16,485.61x = 22,749.49 × 9,678.71
  4. Step 4: Simplify right side
    16,485.61x = 220,185,716.36
  5. Step 5: Solve for x
    x = 220,185,716.36/16,485.61
  6. Step 6: Final answer
    x = 13,356.24

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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.