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Finding the Fourth Proportional to 2,995.84, 4,494 and 915.64

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Solution

The fourth proportional to 2,995.84, 4,494 and 915.64 is: 1,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.84 : 4,494 = 915.64 : x
  2. Step 2: Convert to fraction form
    2,995.84/4,494 = 915.64/x
  3. Step 3: Cross multiply
    2,995.84x = 4,494 × 915.64
  4. Step 4: Simplify right side
    2,995.84x = 4,114,886.16
  5. Step 5: Solve for x
    x = 4,114,886.16/2,995.84
  6. Step 6: Final answer
    x = 1,373.53

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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.