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Finding the Fourth Proportional to 4,931.76, 7,354.86 and 4,206

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Solution

The fourth proportional to 4,931.76, 7,354.86 and 4,206 is: 6,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.76 : 7,354.86 = 4,206 : x
  2. Step 2: Convert to fraction form
    4,931.76/7,354.86 = 4,206/x
  3. Step 3: Cross multiply
    4,931.76x = 7,354.86 × 4,206
  4. Step 4: Simplify right side
    4,931.76x = 30,934,541.16
  5. Step 5: Solve for x
    x = 30,934,541.16/4,931.76
  6. Step 6: Final answer
    x = 6,272.52

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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.