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Finding the Fourth Proportional to 2,656.53, 3,985.16 and 924.75

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Solution

The fourth proportional to 2,656.53, 3,985.16 and 924.75 is: 1,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.53 : 3,985.16 = 924.75 : x
  2. Step 2: Convert to fraction form
    2,656.53/3,985.16 = 924.75/x
  3. Step 3: Cross multiply
    2,656.53x = 3,985.16 × 924.75
  4. Step 4: Simplify right side
    2,656.53x = 3,685,272.09
  5. Step 5: Solve for x
    x = 3,685,272.09/2,656.53
  6. Step 6: Final answer
    x = 1,387.25

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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.