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Finding the Fourth Proportional to 10,643.10, 14,679.68 and 7,282.42

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Solution

The fourth proportional to 10,643.10, 14,679.68 and 7,282.42 is: 10,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.10 : 14,679.68 = 7,282.42 : x
  2. Step 2: Convert to fraction form
    10,643.10/14,679.68 = 7,282.42/x
  3. Step 3: Cross multiply
    10,643.10x = 14,679.68 × 7,282.42
  4. Step 4: Simplify right side
    10,643.10x = 106,903,595.23
  5. Step 5: Solve for x
    x = 106,903,595.23/10,643.10
  6. Step 6: Final answer
    x = 10,044.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.