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Finding the Fourth Proportional to 12,702.21, 19,018.11 and 9,572.74

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Solution

The fourth proportional to 12,702.21, 19,018.11 and 9,572.74 is: 14,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.21 : 19,018.11 = 9,572.74 : x
  2. Step 2: Convert to fraction form
    12,702.21/19,018.11 = 9,572.74/x
  3. Step 3: Cross multiply
    12,702.21x = 19,018.11 × 9,572.74
  4. Step 4: Simplify right side
    12,702.21x = 182,055,422.32
  5. Step 5: Solve for x
    x = 182,055,422.32/12,702.21
  6. Step 6: Final answer
    x = 14,332.58

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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.