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Finding the Fourth Proportional to 7,160.37, 9,878.40 and 4,470

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Solution

The fourth proportional to 7,160.37, 9,878.40 and 4,470 is: 6,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.37 : 9,878.40 = 4,470 : x
  2. Step 2: Convert to fraction form
    7,160.37/9,878.40 = 4,470/x
  3. Step 3: Cross multiply
    7,160.37x = 9,878.40 × 4,470
  4. Step 4: Simplify right side
    7,160.37x = 44,156,448
  5. Step 5: Solve for x
    x = 44,156,448/7,160.37
  6. Step 6: Final answer
    x = 6,166.78

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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.