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Finding the Fourth Proportional to 4,728.78, 7,038.80 and 4,658.61

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Solution

The fourth proportional to 4,728.78, 7,038.80 and 4,658.61 is: 6,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.78 : 7,038.80 = 4,658.61 : x
  2. Step 2: Convert to fraction form
    4,728.78/7,038.80 = 4,658.61/x
  3. Step 3: Cross multiply
    4,728.78x = 7,038.80 × 4,658.61
  4. Step 4: Simplify right side
    4,728.78x = 32,791,044.64
  5. Step 5: Solve for x
    x = 32,791,044.64/4,728.78
  6. Step 6: Final answer
    x = 6,934.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.