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Finding the Fourth Proportional to 14,307.12, 21,465 and 9,645.84

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Solution

The fourth proportional to 14,307.12, 21,465 and 9,645.84 is: 14,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.12 : 21,465 = 9,645.84 : x
  2. Step 2: Convert to fraction form
    14,307.12/21,465 = 9,645.84/x
  3. Step 3: Cross multiply
    14,307.12x = 21,465 × 9,645.84
  4. Step 4: Simplify right side
    14,307.12x = 207,047,955.60
  5. Step 5: Solve for x
    x = 207,047,955.60/14,307.12
  6. Step 6: Final answer
    x = 14,471.67

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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.