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Finding the Fourth Proportional to 9,902.76, 13,670.78 and 7,659.56

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Solution

The fourth proportional to 9,902.76, 13,670.78 and 7,659.56 is: 10,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.76 : 13,670.78 = 7,659.56 : x
  2. Step 2: Convert to fraction form
    9,902.76/13,670.78 = 7,659.56/x
  3. Step 3: Cross multiply
    9,902.76x = 13,670.78 × 7,659.56
  4. Step 4: Simplify right side
    9,902.76x = 104,712,159.66
  5. Step 5: Solve for x
    x = 104,712,159.66/9,902.76
  6. Step 6: Final answer
    x = 10,574.04

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1.5x scale

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.