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Finding the Fourth Proportional to 4,242.50, 6,364.20 and 1,164.50

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Solution

The fourth proportional to 4,242.50, 6,364.20 and 1,164.50 is: 1,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.50 : 6,364.20 = 1,164.50 : x
  2. Step 2: Convert to fraction form
    4,242.50/6,364.20 = 1,164.50/x
  3. Step 3: Cross multiply
    4,242.50x = 6,364.20 × 1,164.50
  4. Step 4: Simplify right side
    4,242.50x = 7,411,110.90
  5. Step 5: Solve for x
    x = 7,411,110.90/4,242.50
  6. Step 6: Final answer
    x = 1,746.87

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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.