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Finding the Fourth Proportional to 4,658, 6,987.12 and 1,846.72

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Solution

The fourth proportional to 4,658, 6,987.12 and 1,846.72 is: 2,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,987.12 = 1,846.72 : x
  2. Step 2: Convert to fraction form
    4,658/6,987.12 = 1,846.72/x
  3. Step 3: Cross multiply
    4,658x = 6,987.12 × 1,846.72
  4. Step 4: Simplify right side
    4,658x = 12,903,254.25
  5. Step 5: Solve for x
    x = 12,903,254.25/4,658
  6. Step 6: Final answer
    x = 2,770.13

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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.