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Finding the Fourth Proportional to 7,903.32, 11,848.80 and 2,972.88

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Solution

The fourth proportional to 7,903.32, 11,848.80 and 2,972.88 is: 4,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.32 : 11,848.80 = 2,972.88 : x
  2. Step 2: Convert to fraction form
    7,903.32/11,848.80 = 2,972.88/x
  3. Step 3: Cross multiply
    7,903.32x = 11,848.80 × 2,972.88
  4. Step 4: Simplify right side
    7,903.32x = 35,225,060.54
  5. Step 5: Solve for x
    x = 35,225,060.54/7,903.32
  6. Step 6: Final answer
    x = 4,457.00

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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.