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Finding the Fourth Proportional to 10,610, 14,641.80 and 6,421.52

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Solution

The fourth proportional to 10,610, 14,641.80 and 6,421.52 is: 8,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610 : 14,641.80 = 6,421.52 : x
  2. Step 2: Convert to fraction form
    10,610/14,641.80 = 6,421.52/x
  3. Step 3: Cross multiply
    10,610x = 14,641.80 × 6,421.52
  4. Step 4: Simplify right side
    10,610x = 94,022,611.54
  5. Step 5: Solve for x
    x = 94,022,611.54/10,610
  6. Step 6: Final answer
    x = 8,861.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.