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Finding the Fourth Proportional to 19,715.64, 29,564.76 and 7,395

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Solution

The fourth proportional to 19,715.64, 29,564.76 and 7,395 is: 11,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.64 : 29,564.76 = 7,395 : x
  2. Step 2: Convert to fraction form
    19,715.64/29,564.76 = 7,395/x
  3. Step 3: Cross multiply
    19,715.64x = 29,564.76 × 7,395
  4. Step 4: Simplify right side
    19,715.64x = 218,631,400.20
  5. Step 5: Solve for x
    x = 218,631,400.20/19,715.64
  6. Step 6: Final answer
    x = 11,089.24

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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.