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Finding the Fourth Proportional to 7,710.78, 10,640.79 and 4,567.02

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Solution

The fourth proportional to 7,710.78, 10,640.79 and 4,567.02 is: 6,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.78 : 10,640.79 = 4,567.02 : x
  2. Step 2: Convert to fraction form
    7,710.78/10,640.79 = 4,567.02/x
  3. Step 3: Cross multiply
    7,710.78x = 10,640.79 × 4,567.02
  4. Step 4: Simplify right side
    7,710.78x = 48,596,700.75
  5. Step 5: Solve for x
    x = 48,596,700.75/7,710.78
  6. Step 6: Final answer
    x = 6,302.44

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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.