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Finding the Fourth Proportional to 3,705.47, 5,559.76 and 1,624.40

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Solution

The fourth proportional to 3,705.47, 5,559.76 and 1,624.40 is: 2,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.47 : 5,559.76 = 1,624.40 : x
  2. Step 2: Convert to fraction form
    3,705.47/5,559.76 = 1,624.40/x
  3. Step 3: Cross multiply
    3,705.47x = 5,559.76 × 1,624.40
  4. Step 4: Simplify right side
    3,705.47x = 9,031,274.14
  5. Step 5: Solve for x
    x = 9,031,274.14/3,705.47
  6. Step 6: Final answer
    x = 2,437.28

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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.