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Finding the Fourth Proportional to 7,710.96, 10,642.80 and 4,878.16

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Solution

The fourth proportional to 7,710.96, 10,642.80 and 4,878.16 is: 6,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.96 : 10,642.80 = 4,878.16 : x
  2. Step 2: Convert to fraction form
    7,710.96/10,642.80 = 4,878.16/x
  3. Step 3: Cross multiply
    7,710.96x = 10,642.80 × 4,878.16
  4. Step 4: Simplify right side
    7,710.96x = 51,917,281.25
  5. Step 5: Solve for x
    x = 51,917,281.25/7,710.96
  6. Step 6: Final answer
    x = 6,732.92

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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.