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Finding the Fourth Proportional to 14,378.52, 21,567.78 and 6,471.78

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Solution

The fourth proportional to 14,378.52, 21,567.78 and 6,471.78 is: 9,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.52 : 21,567.78 = 6,471.78 : x
  2. Step 2: Convert to fraction form
    14,378.52/21,567.78 = 6,471.78/x
  3. Step 3: Cross multiply
    14,378.52x = 21,567.78 × 6,471.78
  4. Step 4: Simplify right side
    14,378.52x = 139,581,927.25
  5. Step 5: Solve for x
    x = 139,581,927.25/14,378.52
  6. Step 6: Final answer
    x = 9,707.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.