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Finding the Fourth Proportional to 15,802.84, 21,807.70 and 8,729.40

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Solution

The fourth proportional to 15,802.84, 21,807.70 and 8,729.40 is: 12,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.84 : 21,807.70 = 8,729.40 : x
  2. Step 2: Convert to fraction form
    15,802.84/21,807.70 = 8,729.40/x
  3. Step 3: Cross multiply
    15,802.84x = 21,807.70 × 8,729.40
  4. Step 4: Simplify right side
    15,802.84x = 190,368,136.38
  5. Step 5: Solve for x
    x = 190,368,136.38/15,802.84
  6. Step 6: Final answer
    x = 12,046.45

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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.