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Finding the Fourth Proportional to 12,578, 18,875.64 and 4,370

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Solution

The fourth proportional to 12,578, 18,875.64 and 4,370 is: 6,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 18,875.64 = 4,370 : x
  2. Step 2: Convert to fraction form
    12,578/18,875.64 = 4,370/x
  3. Step 3: Cross multiply
    12,578x = 18,875.64 × 4,370
  4. Step 4: Simplify right side
    12,578x = 82,486,546.80
  5. Step 5: Solve for x
    x = 82,486,546.80/12,578
  6. Step 6: Final answer
    x = 6,558.00

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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.