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Finding the Fourth Proportional to 3,442.95, 5,164.47 and 977.45

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Solution

The fourth proportional to 3,442.95, 5,164.47 and 977.45 is: 1,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.95 : 5,164.47 = 977.45 : x
  2. Step 2: Convert to fraction form
    3,442.95/5,164.47 = 977.45/x
  3. Step 3: Cross multiply
    3,442.95x = 5,164.47 × 977.45
  4. Step 4: Simplify right side
    3,442.95x = 5,047,985.38
  5. Step 5: Solve for x
    x = 5,047,985.38/3,442.95
  6. Step 6: Final answer
    x = 1,466.18

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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.