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Finding the Fourth Proportional to 3,483, 4,804.16 and 2,154.40

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Solution

The fourth proportional to 3,483, 4,804.16 and 2,154.40 is: 2,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483 : 4,804.16 = 2,154.40 : x
  2. Step 2: Convert to fraction form
    3,483/4,804.16 = 2,154.40/x
  3. Step 3: Cross multiply
    3,483x = 4,804.16 × 2,154.40
  4. Step 4: Simplify right side
    3,483x = 10,350,082.30
  5. Step 5: Solve for x
    x = 10,350,082.30/3,483
  6. Step 6: Final answer
    x = 2,971.60

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1.5x scale

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.