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Finding the Fourth Proportional to 12,953.35, 17,875.06 and 7,288

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Solution

The fourth proportional to 12,953.35, 17,875.06 and 7,288 is: 10,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.35 : 17,875.06 = 7,288 : x
  2. Step 2: Convert to fraction form
    12,953.35/17,875.06 = 7,288/x
  3. Step 3: Cross multiply
    12,953.35x = 17,875.06 × 7,288
  4. Step 4: Simplify right side
    12,953.35x = 130,273,437.28
  5. Step 5: Solve for x
    x = 130,273,437.28/12,953.35
  6. Step 6: Final answer
    x = 10,057.12

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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.