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Finding the Fourth Proportional to 4,868.60, 6,720.13 and 4,212.50

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Solution

The fourth proportional to 4,868.60, 6,720.13 and 4,212.50 is: 5,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.60 : 6,720.13 = 4,212.50 : x
  2. Step 2: Convert to fraction form
    4,868.60/6,720.13 = 4,212.50/x
  3. Step 3: Cross multiply
    4,868.60x = 6,720.13 × 4,212.50
  4. Step 4: Simplify right side
    4,868.60x = 28,308,547.63
  5. Step 5: Solve for x
    x = 28,308,547.63/4,868.60
  6. Step 6: Final answer
    x = 5,814.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.