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Finding the Fourth Proportional to 10,697.61, 14,763.51 and 7,877.88

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Solution

The fourth proportional to 10,697.61, 14,763.51 and 7,877.88 is: 10,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.61 : 14,763.51 = 7,877.88 : x
  2. Step 2: Convert to fraction form
    10,697.61/14,763.51 = 7,877.88/x
  3. Step 3: Cross multiply
    10,697.61x = 14,763.51 × 7,877.88
  4. Step 4: Simplify right side
    10,697.61x = 116,305,160.16
  5. Step 5: Solve for x
    x = 116,305,160.16/10,697.61
  6. Step 6: Final answer
    x = 10,872.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.