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Finding the Fourth Proportional to 10,415.36, 14,343 and 7,266.08

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Solution

The fourth proportional to 10,415.36, 14,343 and 7,266.08 is: 10,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.36 : 14,343 = 7,266.08 : x
  2. Step 2: Convert to fraction form
    10,415.36/14,343 = 7,266.08/x
  3. Step 3: Cross multiply
    10,415.36x = 14,343 × 7,266.08
  4. Step 4: Simplify right side
    10,415.36x = 104,217,385.44
  5. Step 5: Solve for x
    x = 104,217,385.44/10,415.36
  6. Step 6: Final answer
    x = 10,006.12

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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.