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Finding the Fourth Proportional to 8,702.30, 12,989.76 and 7,477.58

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Solution

The fourth proportional to 8,702.30, 12,989.76 and 7,477.58 is: 11,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.30 : 12,989.76 = 7,477.58 : x
  2. Step 2: Convert to fraction form
    8,702.30/12,989.76 = 7,477.58/x
  3. Step 3: Cross multiply
    8,702.30x = 12,989.76 × 7,477.58
  4. Step 4: Simplify right side
    8,702.30x = 97,131,969.58
  5. Step 5: Solve for x
    x = 97,131,969.58/8,702.30
  6. Step 6: Final answer
    x = 11,161.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.