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Finding the Fourth Proportional to 7,142, 9,856 and 4,658

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Solution

The fourth proportional to 7,142, 9,856 and 4,658 is: 6,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142 : 9,856 = 4,658 : x
  2. Step 2: Convert to fraction form
    7,142/9,856 = 4,658/x
  3. Step 3: Cross multiply
    7,142x = 9,856 × 4,658
  4. Step 4: Simplify right side
    7,142x = 45,909,248
  5. Step 5: Solve for x
    x = 45,909,248/7,142
  6. Step 6: Final answer
    x = 6,428.07

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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.