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Finding the Fourth Proportional to 7,705.53, 11,490.71 and 7,635.40

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Solution

The fourth proportional to 7,705.53, 11,490.71 and 7,635.40 is: 11,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.53 : 11,490.71 = 7,635.40 : x
  2. Step 2: Convert to fraction form
    7,705.53/11,490.71 = 7,635.40/x
  3. Step 3: Cross multiply
    7,705.53x = 11,490.71 × 7,635.40
  4. Step 4: Simplify right side
    7,705.53x = 87,736,191.66
  5. Step 5: Solve for x
    x = 87,736,191.66/7,705.53
  6. Step 6: Final answer
    x = 11,386.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.