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Finding the Fourth Proportional to 13,398.86, 18,491.02 and 7,430.12

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Solution

The fourth proportional to 13,398.86, 18,491.02 and 7,430.12 is: 10,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.86 : 18,491.02 = 7,430.12 : x
  2. Step 2: Convert to fraction form
    13,398.86/18,491.02 = 7,430.12/x
  3. Step 3: Cross multiply
    13,398.86x = 18,491.02 × 7,430.12
  4. Step 4: Simplify right side
    13,398.86x = 137,390,525.17
  5. Step 5: Solve for x
    x = 137,390,525.17/13,398.86
  6. Step 6: Final answer
    x = 10,253.90

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1.5x scale

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.