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Finding the Fourth Proportional to 28,462.38, 42,699.03 and 12,880

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Solution

The fourth proportional to 28,462.38, 42,699.03 and 12,880 is: 19,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.38 : 42,699.03 = 12,880 : x
  2. Step 2: Convert to fraction form
    28,462.38/42,699.03 = 12,880/x
  3. Step 3: Cross multiply
    28,462.38x = 42,699.03 × 12,880
  4. Step 4: Simplify right side
    28,462.38x = 549,963,506.40
  5. Step 5: Solve for x
    x = 549,963,506.40/28,462.38
  6. Step 6: Final answer
    x = 19,322.47

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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.