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Finding the Fourth Proportional to 3,064.98, 4,598.20 and 956.50

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Solution

The fourth proportional to 3,064.98, 4,598.20 and 956.50 is: 1,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.98 : 4,598.20 = 956.50 : x
  2. Step 2: Convert to fraction form
    3,064.98/4,598.20 = 956.50/x
  3. Step 3: Cross multiply
    3,064.98x = 4,598.20 × 956.50
  4. Step 4: Simplify right side
    3,064.98x = 4,398,178.30
  5. Step 5: Solve for x
    x = 4,398,178.30/3,064.98
  6. Step 6: Final answer
    x = 1,434.98

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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.