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Finding the Fourth Proportional to 4,599, 6,899.58 and 1,521

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Solution

The fourth proportional to 4,599, 6,899.58 and 1,521 is: 2,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599 : 6,899.58 = 1,521 : x
  2. Step 2: Convert to fraction form
    4,599/6,899.58 = 1,521/x
  3. Step 3: Cross multiply
    4,599x = 6,899.58 × 1,521
  4. Step 4: Simplify right side
    4,599x = 10,494,261.18
  5. Step 5: Solve for x
    x = 10,494,261.18/4,599
  6. Step 6: Final answer
    x = 2,281.86

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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.