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Finding the Fourth Proportional to 13,459.90, 18,574.48 and 7,491.57

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Solution

The fourth proportional to 13,459.90, 18,574.48 and 7,491.57 is: 10,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.90 : 18,574.48 = 7,491.57 : x
  2. Step 2: Convert to fraction form
    13,459.90/18,574.48 = 7,491.57/x
  3. Step 3: Cross multiply
    13,459.90x = 18,574.48 × 7,491.57
  4. Step 4: Simplify right side
    13,459.90x = 139,152,017.13
  5. Step 5: Solve for x
    x = 139,152,017.13/13,459.90
  6. Step 6: Final answer
    x = 10,338.27

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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.