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Finding the Fourth Proportional to 21,735, 29,995.80 and 12,303.60

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Solution

The fourth proportional to 21,735, 29,995.80 and 12,303.60 is: 16,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735 : 29,995.80 = 12,303.60 : x
  2. Step 2: Convert to fraction form
    21,735/29,995.80 = 12,303.60/x
  3. Step 3: Cross multiply
    21,735x = 29,995.80 × 12,303.60
  4. Step 4: Simplify right side
    21,735x = 369,056,324.88
  5. Step 5: Solve for x
    x = 369,056,324.88/21,735
  6. Step 6: Final answer
    x = 16,979.82

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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.