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Finding the Fourth Proportional to 21,368, 32,048.04 and 5,783.60

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Solution

The fourth proportional to 21,368, 32,048.04 and 5,783.60 is: 8,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368 : 32,048.04 = 5,783.60 : x
  2. Step 2: Convert to fraction form
    21,368/32,048.04 = 5,783.60/x
  3. Step 3: Cross multiply
    21,368x = 32,048.04 × 5,783.60
  4. Step 4: Simplify right side
    21,368x = 185,353,044.14
  5. Step 5: Solve for x
    x = 185,353,044.14/21,368
  6. Step 6: Final answer
    x = 8,674.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.