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Finding the Fourth Proportional to 2,872.62, 4,307.99 and 924.35

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Solution

The fourth proportional to 2,872.62, 4,307.99 and 924.35 is: 1,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.62 : 4,307.99 = 924.35 : x
  2. Step 2: Convert to fraction form
    2,872.62/4,307.99 = 924.35/x
  3. Step 3: Cross multiply
    2,872.62x = 4,307.99 × 924.35
  4. Step 4: Simplify right side
    2,872.62x = 3,982,064.39
  5. Step 5: Solve for x
    x = 3,982,064.39/2,872.62
  6. Step 6: Final answer
    x = 1,386.21

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1.5x scale

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.