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Finding the Fourth Proportional to 7,807.16, 10,779 and 4,827.38

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Solution

The fourth proportional to 7,807.16, 10,779 and 4,827.38 is: 6,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.16 : 10,779 = 4,827.38 : x
  2. Step 2: Convert to fraction form
    7,807.16/10,779 = 4,827.38/x
  3. Step 3: Cross multiply
    7,807.16x = 10,779 × 4,827.38
  4. Step 4: Simplify right side
    7,807.16x = 52,034,329.02
  5. Step 5: Solve for x
    x = 52,034,329.02/7,807.16
  6. Step 6: Final answer
    x = 6,664.95

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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.