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Finding the Fourth Proportional to 7,080, 9,770.40 and 4,875.84

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Solution

The fourth proportional to 7,080, 9,770.40 and 4,875.84 is: 6,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 9,770.40 = 4,875.84 : x
  2. Step 2: Convert to fraction form
    7,080/9,770.40 = 4,875.84/x
  3. Step 3: Cross multiply
    7,080x = 9,770.40 × 4,875.84
  4. Step 4: Simplify right side
    7,080x = 47,638,907.14
  5. Step 5: Solve for x
    x = 47,638,907.14/7,080
  6. Step 6: Final answer
    x = 6,728.66

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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.