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Finding the Fourth Proportional to 8,957.42, 12,360.30 and 4,977.90

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Solution

The fourth proportional to 8,957.42, 12,360.30 and 4,977.90 is: 6,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.42 : 12,360.30 = 4,977.90 : x
  2. Step 2: Convert to fraction form
    8,957.42/12,360.30 = 4,977.90/x
  3. Step 3: Cross multiply
    8,957.42x = 12,360.30 × 4,977.90
  4. Step 4: Simplify right side
    8,957.42x = 61,528,337.37
  5. Step 5: Solve for x
    x = 61,528,337.37/8,957.42
  6. Step 6: Final answer
    x = 6,868.98

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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.