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Finding the Fourth Proportional to 7,763.84, 10,704.11 and 5,642.45

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Solution

The fourth proportional to 7,763.84, 10,704.11 and 5,642.45 is: 7,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.84 : 10,704.11 = 5,642.45 : x
  2. Step 2: Convert to fraction form
    7,763.84/10,704.11 = 5,642.45/x
  3. Step 3: Cross multiply
    7,763.84x = 10,704.11 × 5,642.45
  4. Step 4: Simplify right side
    7,763.84x = 60,397,323.74
  5. Step 5: Solve for x
    x = 60,397,323.74/7,763.84
  6. Step 6: Final answer
    x = 7,779.32

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Half scale
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Double scale
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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.