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Finding the Fourth Proportional to 7,617, 10,513.20 and 4,474.20

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Solution

The fourth proportional to 7,617, 10,513.20 and 4,474.20 is: 6,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617 : 10,513.20 = 4,474.20 : x
  2. Step 2: Convert to fraction form
    7,617/10,513.20 = 4,474.20/x
  3. Step 3: Cross multiply
    7,617x = 10,513.20 × 4,474.20
  4. Step 4: Simplify right side
    7,617x = 47,038,159.44
  5. Step 5: Solve for x
    x = 47,038,159.44/7,617
  6. Step 6: Final answer
    x = 6,175.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.