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Finding the Fourth Proportional to 12,686.90, 19,030.35 and 5,288.90

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Solution

The fourth proportional to 12,686.90, 19,030.35 and 5,288.90 is: 7,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.90 : 19,030.35 = 5,288.90 : x
  2. Step 2: Convert to fraction form
    12,686.90/19,030.35 = 5,288.90/x
  3. Step 3: Cross multiply
    12,686.90x = 19,030.35 × 5,288.90
  4. Step 4: Simplify right side
    12,686.90x = 100,649,618.12
  5. Step 5: Solve for x
    x = 100,649,618.12/12,686.90
  6. Step 6: Final answer
    x = 7,933.35

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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.