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Finding the Fourth Proportional to 9,612.80, 13,271.78 and 7,848.60

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Solution

The fourth proportional to 9,612.80, 13,271.78 and 7,848.60 is: 10,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.80 : 13,271.78 = 7,848.60 : x
  2. Step 2: Convert to fraction form
    9,612.80/13,271.78 = 7,848.60/x
  3. Step 3: Cross multiply
    9,612.80x = 13,271.78 × 7,848.60
  4. Step 4: Simplify right side
    9,612.80x = 104,164,892.51
  5. Step 5: Solve for x
    x = 104,164,892.51/9,612.80
  6. Step 6: Final answer
    x = 10,836.06

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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.