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Finding the Fourth Proportional to 2,892.02, 4,337.98 and 917.64

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Solution

The fourth proportional to 2,892.02, 4,337.98 and 917.64 is: 1,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.02 : 4,337.98 = 917.64 : x
  2. Step 2: Convert to fraction form
    2,892.02/4,337.98 = 917.64/x
  3. Step 3: Cross multiply
    2,892.02x = 4,337.98 × 917.64
  4. Step 4: Simplify right side
    2,892.02x = 3,980,701.67
  5. Step 5: Solve for x
    x = 3,980,701.67/2,892.02
  6. Step 6: Final answer
    x = 1,376.45

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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.