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Finding the Fourth Proportional to 2,970.66, 4,455.84 and 1,409.52

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Solution

The fourth proportional to 2,970.66, 4,455.84 and 1,409.52 is: 2,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,455.84 = 1,409.52 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,455.84 = 1,409.52/x
  3. Step 3: Cross multiply
    2,970.66x = 4,455.84 × 1,409.52
  4. Step 4: Simplify right side
    2,970.66x = 6,280,595.60
  5. Step 5: Solve for x
    x = 6,280,595.60/2,970.66
  6. Step 6: Final answer
    x = 2,114.21

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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.