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Finding the Fourth Proportional to 3,320.19, 4,978.88 and 1,470

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Solution

The fourth proportional to 3,320.19, 4,978.88 and 1,470 is: 2,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.19 : 4,978.88 = 1,470 : x
  2. Step 2: Convert to fraction form
    3,320.19/4,978.88 = 1,470/x
  3. Step 3: Cross multiply
    3,320.19x = 4,978.88 × 1,470
  4. Step 4: Simplify right side
    3,320.19x = 7,318,946.25
  5. Step 5: Solve for x
    x = 7,318,946.25/3,320.19
  6. Step 6: Final answer
    x = 2,204.38

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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.