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Finding the Fourth Proportional to 4,655.65, 6,985.14 and 2,898.15

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Solution

The fourth proportional to 4,655.65, 6,985.14 and 2,898.15 is: 4,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.65 : 6,985.14 = 2,898.15 : x
  2. Step 2: Convert to fraction form
    4,655.65/6,985.14 = 2,898.15/x
  3. Step 3: Cross multiply
    4,655.65x = 6,985.14 × 2,898.15
  4. Step 4: Simplify right side
    4,655.65x = 20,243,983.49
  5. Step 5: Solve for x
    x = 20,243,983.49/4,655.65
  6. Step 6: Final answer
    x = 4,348.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.