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Finding the Fourth Proportional to 2,899.60, 4,347.60 and 1,666.40

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Solution

The fourth proportional to 2,899.60, 4,347.60 and 1,666.40 is: 2,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.60 : 4,347.60 = 1,666.40 : x
  2. Step 2: Convert to fraction form
    2,899.60/4,347.60 = 1,666.40/x
  3. Step 3: Cross multiply
    2,899.60x = 4,347.60 × 1,666.40
  4. Step 4: Simplify right side
    2,899.60x = 7,244,840.64
  5. Step 5: Solve for x
    x = 7,244,840.64/2,899.60
  6. Step 6: Final answer
    x = 2,498.57

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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.