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Finding the Fourth Proportional to 14,428, 21,642.84 and 4,567.60

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Solution

The fourth proportional to 14,428, 21,642.84 and 4,567.60 is: 6,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428 : 21,642.84 = 4,567.60 : x
  2. Step 2: Convert to fraction form
    14,428/21,642.84 = 4,567.60/x
  3. Step 3: Cross multiply
    14,428x = 21,642.84 × 4,567.60
  4. Step 4: Simplify right side
    14,428x = 98,855,835.98
  5. Step 5: Solve for x
    x = 98,855,835.98/14,428
  6. Step 6: Final answer
    x = 6,851.67

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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.