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Finding the Fourth Proportional to 12,710.90, 19,078.02 and 6,475.34

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Solution

The fourth proportional to 12,710.90, 19,078.02 and 6,475.34 is: 9,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.90 : 19,078.02 = 6,475.34 : x
  2. Step 2: Convert to fraction form
    12,710.90/19,078.02 = 6,475.34/x
  3. Step 3: Cross multiply
    12,710.90x = 19,078.02 × 6,475.34
  4. Step 4: Simplify right side
    12,710.90x = 123,536,666.03
  5. Step 5: Solve for x
    x = 123,536,666.03/12,710.90
  6. Step 6: Final answer
    x = 9,718.96

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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.