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Finding the Fourth Proportional to 13,117, 18,101.64 and 7,528

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Solution

The fourth proportional to 13,117, 18,101.64 and 7,528 is: 10,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117 : 18,101.64 = 7,528 : x
  2. Step 2: Convert to fraction form
    13,117/18,101.64 = 7,528/x
  3. Step 3: Cross multiply
    13,117x = 18,101.64 × 7,528
  4. Step 4: Simplify right side
    13,117x = 136,269,145.92
  5. Step 5: Solve for x
    x = 136,269,145.92/13,117
  6. Step 6: Final answer
    x = 10,388.74

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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.