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Finding the Fourth Proportional to 14,225.72, 21,338.48 and 7,655

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Solution

The fourth proportional to 14,225.72, 21,338.48 and 7,655 is: 11,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.72 : 21,338.48 = 7,655 : x
  2. Step 2: Convert to fraction form
    14,225.72/21,338.48 = 7,655/x
  3. Step 3: Cross multiply
    14,225.72x = 21,338.48 × 7,655
  4. Step 4: Simplify right side
    14,225.72x = 163,346,064.40
  5. Step 5: Solve for x
    x = 163,346,064.40/14,225.72
  6. Step 6: Final answer
    x = 11,482.45

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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.