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Finding the Fourth Proportional to 2,387.60, 3,580.32 and 848.64

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Solution

The fourth proportional to 2,387.60, 3,580.32 and 848.64 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.60 : 3,580.32 = 848.64 : x
  2. Step 2: Convert to fraction form
    2,387.60/3,580.32 = 848.64/x
  3. Step 3: Cross multiply
    2,387.60x = 3,580.32 × 848.64
  4. Step 4: Simplify right side
    2,387.60x = 3,038,402.76
  5. Step 5: Solve for x
    x = 3,038,402.76/2,387.60
  6. Step 6: Final answer
    x = 1,272.58

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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.