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Finding the Fourth Proportional to 9,904.85, 14,828.47 and 7,706.91

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Solution

The fourth proportional to 9,904.85, 14,828.47 and 7,706.91 is: 11,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.85 : 14,828.47 = 7,706.91 : x
  2. Step 2: Convert to fraction form
    9,904.85/14,828.47 = 7,706.91/x
  3. Step 3: Cross multiply
    9,904.85x = 14,828.47 × 7,706.91
  4. Step 4: Simplify right side
    9,904.85x = 114,281,720.07
  5. Step 5: Solve for x
    x = 114,281,720.07/9,904.85
  6. Step 6: Final answer
    x = 11,537.96

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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.