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Finding the Fourth Proportional to 14,501, 20,011.62 and 7,877

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Solution

The fourth proportional to 14,501, 20,011.62 and 7,877 is: 10,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501 : 20,011.62 = 7,877 : x
  2. Step 2: Convert to fraction form
    14,501/20,011.62 = 7,877/x
  3. Step 3: Cross multiply
    14,501x = 20,011.62 × 7,877
  4. Step 4: Simplify right side
    14,501x = 157,631,530.74
  5. Step 5: Solve for x
    x = 157,631,530.74/14,501
  6. Step 6: Final answer
    x = 10,870.39

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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.