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Finding the Fourth Proportional to 12,886.91, 19,332 and 4,565.30

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Solution

The fourth proportional to 12,886.91, 19,332 and 4,565.30 is: 6,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.91 : 19,332 = 4,565.30 : x
  2. Step 2: Convert to fraction form
    12,886.91/19,332 = 4,565.30/x
  3. Step 3: Cross multiply
    12,886.91x = 19,332 × 4,565.30
  4. Step 4: Simplify right side
    12,886.91x = 88,256,379.60
  5. Step 5: Solve for x
    x = 88,256,379.60/12,886.91
  6. Step 6: Final answer
    x = 6,848.53

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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.