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Finding the Fourth Proportional to 13,471.68, 18,590.89 and 7,503.87

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Solution

The fourth proportional to 13,471.68, 18,590.89 and 7,503.87 is: 10,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.68 : 18,590.89 = 7,503.87 : x
  2. Step 2: Convert to fraction form
    13,471.68/18,590.89 = 7,503.87/x
  3. Step 3: Cross multiply
    13,471.68x = 18,590.89 × 7,503.87
  4. Step 4: Simplify right side
    13,471.68x = 139,503,621.74
  5. Step 5: Solve for x
    x = 139,503,621.74/13,471.68
  6. Step 6: Final answer
    x = 10,355.32

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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.