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Finding the Fourth Proportional to 9,770, 13,482.76 and 6,980.24

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Solution

The fourth proportional to 9,770, 13,482.76 and 6,980.24 is: 9,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 13,482.76 = 6,980.24 : x
  2. Step 2: Convert to fraction form
    9,770/13,482.76 = 6,980.24/x
  3. Step 3: Cross multiply
    9,770x = 13,482.76 × 6,980.24
  4. Step 4: Simplify right side
    9,770x = 94,112,900.66
  5. Step 5: Solve for x
    x = 94,112,900.66/9,770
  6. Step 6: Final answer
    x = 9,632.85

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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.