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Finding the Fourth Proportional to 19,740, 29,603.58 and 6,588.84

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Solution

The fourth proportional to 19,740, 29,603.58 and 6,588.84 is: 9,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 29,603.58 = 6,588.84 : x
  2. Step 2: Convert to fraction form
    19,740/29,603.58 = 6,588.84/x
  3. Step 3: Cross multiply
    19,740x = 29,603.58 × 6,588.84
  4. Step 4: Simplify right side
    19,740x = 195,053,252.05
  5. Step 5: Solve for x
    x = 195,053,252.05/19,740
  6. Step 6: Final answer
    x = 9,881.12

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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.