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Finding the Fourth Proportional to 12,690.02, 19,035 and 6,454.32

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Solution

The fourth proportional to 12,690.02, 19,035 and 6,454.32 is: 9,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.02 : 19,035 = 6,454.32 : x
  2. Step 2: Convert to fraction form
    12,690.02/19,035 = 6,454.32/x
  3. Step 3: Cross multiply
    12,690.02x = 19,035 × 6,454.32
  4. Step 4: Simplify right side
    12,690.02x = 122,857,981.20
  5. Step 5: Solve for x
    x = 122,857,981.20/12,690.02
  6. Step 6: Final answer
    x = 9,681.47

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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.