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Finding the Fourth Proportional to 18,970.68, 28,457.28 and 5,823.12

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Solution

The fourth proportional to 18,970.68, 28,457.28 and 5,823.12 is: 8,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.68 : 28,457.28 = 5,823.12 : x
  2. Step 2: Convert to fraction form
    18,970.68/28,457.28 = 5,823.12/x
  3. Step 3: Cross multiply
    18,970.68x = 28,457.28 × 5,823.12
  4. Step 4: Simplify right side
    18,970.68x = 165,710,156.31
  5. Step 5: Solve for x
    x = 165,710,156.31/18,970.68
  6. Step 6: Final answer
    x = 8,735.07

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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.