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Finding the Fourth Proportional to 14,143, 21,214.57 and 4,783.08

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Solution

The fourth proportional to 14,143, 21,214.57 and 4,783.08 is: 7,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143 : 21,214.57 = 4,783.08 : x
  2. Step 2: Convert to fraction form
    14,143/21,214.57 = 4,783.08/x
  3. Step 3: Cross multiply
    14,143x = 21,214.57 × 4,783.08
  4. Step 4: Simplify right side
    14,143x = 101,470,985.48
  5. Step 5: Solve for x
    x = 101,470,985.48/14,143
  6. Step 6: Final answer
    x = 7,174.64

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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.