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Finding the Fourth Proportional to 13,416, 18,514.40 and 7,528

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Solution

The fourth proportional to 13,416, 18,514.40 and 7,528 is: 10,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 18,514.40 = 7,528 : x
  2. Step 2: Convert to fraction form
    13,416/18,514.40 = 7,528/x
  3. Step 3: Cross multiply
    13,416x = 18,514.40 × 7,528
  4. Step 4: Simplify right side
    13,416x = 139,376,403.20
  5. Step 5: Solve for x
    x = 139,376,403.20/13,416
  6. Step 6: Final answer
    x = 10,388.82

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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.