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Finding the Fourth Proportional to 11,501.28, 15,878.16 and 7,308

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Solution

The fourth proportional to 11,501.28, 15,878.16 and 7,308 is: 10,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.28 : 15,878.16 = 7,308 : x
  2. Step 2: Convert to fraction form
    11,501.28/15,878.16 = 7,308/x
  3. Step 3: Cross multiply
    11,501.28x = 15,878.16 × 7,308
  4. Step 4: Simplify right side
    11,501.28x = 116,037,593.28
  5. Step 5: Solve for x
    x = 116,037,593.28/11,501.28
  6. Step 6: Final answer
    x = 10,089.10

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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.