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Finding the Fourth Proportional to 9,970.65, 13,765.40 and 8,863.59

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Solution

The fourth proportional to 9,970.65, 13,765.40 and 8,863.59 is: 12,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.65 : 13,765.40 = 8,863.59 : x
  2. Step 2: Convert to fraction form
    9,970.65/13,765.40 = 8,863.59/x
  3. Step 3: Cross multiply
    9,970.65x = 13,765.40 × 8,863.59
  4. Step 4: Simplify right side
    9,970.65x = 122,010,861.79
  5. Step 5: Solve for x
    x = 122,010,861.79/9,970.65
  6. Step 6: Final answer
    x = 12,237.00

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1.5x scale

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.