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Finding the Fourth Proportional to 3,113.78, 4,670.70 and 924.02

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Solution

The fourth proportional to 3,113.78, 4,670.70 and 924.02 is: 1,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.78 : 4,670.70 = 924.02 : x
  2. Step 2: Convert to fraction form
    3,113.78/4,670.70 = 924.02/x
  3. Step 3: Cross multiply
    3,113.78x = 4,670.70 × 924.02
  4. Step 4: Simplify right side
    3,113.78x = 4,315,820.21
  5. Step 5: Solve for x
    x = 4,315,820.21/3,113.78
  6. Step 6: Final answer
    x = 1,386.04

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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.