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Finding the Fourth Proportional to 12,585.78, 18,875.68 and 4,692.00

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Solution

The fourth proportional to 12,585.78, 18,875.68 and 4,692.00 is: 7,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.78 : 18,875.68 = 4,692.00 : x
  2. Step 2: Convert to fraction form
    12,585.78/18,875.68 = 4,692.00/x
  3. Step 3: Cross multiply
    12,585.78x = 18,875.68 × 4,692.00
  4. Step 4: Simplify right side
    12,585.78x = 88,564,722.92
  5. Step 5: Solve for x
    x = 88,564,722.92/12,585.78
  6. Step 6: Final answer
    x = 7,036.89

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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.