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Finding the Fourth Proportional to 18,970.16, 28,455 and 8,574.64

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Solution

The fourth proportional to 18,970.16, 28,455 and 8,574.64 is: 12,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.16 : 28,455 = 8,574.64 : x
  2. Step 2: Convert to fraction form
    18,970.16/28,455 = 8,574.64/x
  3. Step 3: Cross multiply
    18,970.16x = 28,455 × 8,574.64
  4. Step 4: Simplify right side
    18,970.16x = 243,991,381.20
  5. Step 5: Solve for x
    x = 243,991,381.20/18,970.16
  6. Step 6: Final answer
    x = 12,861.85

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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.