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Finding the Fourth Proportional to 12,798, 19,205.64 and 4,590

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Solution

The fourth proportional to 12,798, 19,205.64 and 4,590 is: 6,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 19,205.64 = 4,590 : x
  2. Step 2: Convert to fraction form
    12,798/19,205.64 = 4,590/x
  3. Step 3: Cross multiply
    12,798x = 19,205.64 × 4,590
  4. Step 4: Simplify right side
    12,798x = 88,153,887.60
  5. Step 5: Solve for x
    x = 88,153,887.60/12,798
  6. Step 6: Final answer
    x = 6,888.10

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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.