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Finding the Fourth Proportional to 3,389.34, 5,084.01 and 924.15

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Solution

The fourth proportional to 3,389.34, 5,084.01 and 924.15 is: 1,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.34 : 5,084.01 = 924.15 : x
  2. Step 2: Convert to fraction form
    3,389.34/5,084.01 = 924.15/x
  3. Step 3: Cross multiply
    3,389.34x = 5,084.01 × 924.15
  4. Step 4: Simplify right side
    3,389.34x = 4,698,387.84
  5. Step 5: Solve for x
    x = 4,698,387.84/3,389.34
  6. Step 6: Final answer
    x = 1,386.23

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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.