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Finding the Fourth Proportional to 13,415, 18,513.02 and 7,527

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Solution

The fourth proportional to 13,415, 18,513.02 and 7,527 is: 10,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415 : 18,513.02 = 7,527 : x
  2. Step 2: Convert to fraction form
    13,415/18,513.02 = 7,527/x
  3. Step 3: Cross multiply
    13,415x = 18,513.02 × 7,527
  4. Step 4: Simplify right side
    13,415x = 139,347,501.54
  5. Step 5: Solve for x
    x = 139,347,501.54/13,415
  6. Step 6: Final answer
    x = 10,387.44

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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.