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Finding the Fourth Proportional to 8,956.16, 12,355.20 and 7,712

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Solution

The fourth proportional to 8,956.16, 12,355.20 and 7,712 is: 10,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,956.16 : 12,355.20 = 7,712 : x
  2. Step 2: Convert to fraction form
    8,956.16/12,355.20 = 7,712/x
  3. Step 3: Cross multiply
    8,956.16x = 12,355.20 × 7,712
  4. Step 4: Simplify right side
    8,956.16x = 95,283,302.40
  5. Step 5: Solve for x
    x = 95,283,302.40/8,956.16
  6. Step 6: Final answer
    x = 10,638.86

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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.