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Finding the Fourth Proportional to 15,802.64, 21,807.78 and 8,729.18

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Solution

The fourth proportional to 15,802.64, 21,807.78 and 8,729.18 is: 12,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.64 : 21,807.78 = 8,729.18 : x
  2. Step 2: Convert to fraction form
    15,802.64/21,807.78 = 8,729.18/x
  3. Step 3: Cross multiply
    15,802.64x = 21,807.78 × 8,729.18
  4. Step 4: Simplify right side
    15,802.64x = 190,364,037.02
  5. Step 5: Solve for x
    x = 190,364,037.02/15,802.64
  6. Step 6: Final answer
    x = 12,046.34

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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.