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Finding the Fourth Proportional to 7,070.94, 9,747.96 and 5,078.16

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Solution

The fourth proportional to 7,070.94, 9,747.96 and 5,078.16 is: 7,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.94 : 9,747.96 = 5,078.16 : x
  2. Step 2: Convert to fraction form
    7,070.94/9,747.96 = 5,078.16/x
  3. Step 3: Cross multiply
    7,070.94x = 9,747.96 × 5,078.16
  4. Step 4: Simplify right side
    7,070.94x = 49,501,700.55
  5. Step 5: Solve for x
    x = 49,501,700.55/7,070.94
  6. Step 6: Final answer
    x = 7,000.72

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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.