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Finding the Fourth Proportional to 13,710.61, 18,921.51 and 7,740.10

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Solution

The fourth proportional to 13,710.61, 18,921.51 and 7,740.10 is: 10,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.61 : 18,921.51 = 7,740.10 : x
  2. Step 2: Convert to fraction form
    13,710.61/18,921.51 = 7,740.10/x
  3. Step 3: Cross multiply
    13,710.61x = 18,921.51 × 7,740.10
  4. Step 4: Simplify right side
    13,710.61x = 146,454,379.55
  5. Step 5: Solve for x
    x = 146,454,379.55/13,710.61
  6. Step 6: Final answer
    x = 10,681.83

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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.