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Finding the Fourth Proportional to 7,140, 10,699.06 and 4,795.04

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Solution

The fourth proportional to 7,140, 10,699.06 and 4,795.04 is: 7,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 10,699.06 = 4,795.04 : x
  2. Step 2: Convert to fraction form
    7,140/10,699.06 = 4,795.04/x
  3. Step 3: Cross multiply
    7,140x = 10,699.06 × 4,795.04
  4. Step 4: Simplify right side
    7,140x = 51,302,420.66
  5. Step 5: Solve for x
    x = 51,302,420.66/7,140
  6. Step 6: Final answer
    x = 7,185.21

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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.