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Finding the Fourth Proportional to 1,886.60, 2,606 and 1,572.89

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Solution

The fourth proportional to 1,886.60, 2,606 and 1,572.89 is: 2,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.60 : 2,606 = 1,572.89 : x
  2. Step 2: Convert to fraction form
    1,886.60/2,606 = 1,572.89/x
  3. Step 3: Cross multiply
    1,886.60x = 2,606 × 1,572.89
  4. Step 4: Simplify right side
    1,886.60x = 4,098,951.34
  5. Step 5: Solve for x
    x = 4,098,951.34/1,886.60
  6. Step 6: Final answer
    x = 2,172.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.