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Finding the Fourth Proportional to 9,705.36, 14,565.36 and 7,780.80

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Solution

The fourth proportional to 9,705.36, 14,565.36 and 7,780.80 is: 11,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.36 : 14,565.36 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    9,705.36/14,565.36 = 7,780.80/x
  3. Step 3: Cross multiply
    9,705.36x = 14,565.36 × 7,780.80
  4. Step 4: Simplify right side
    9,705.36x = 113,330,153.09
  5. Step 5: Solve for x
    x = 113,330,153.09/9,705.36
  6. Step 6: Final answer
    x = 11,677.07

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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.