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Finding the Fourth Proportional to 8,702.98, 12,002.36 and 7,023.84

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Solution

The fourth proportional to 8,702.98, 12,002.36 and 7,023.84 is: 9,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.98 : 12,002.36 = 7,023.84 : x
  2. Step 2: Convert to fraction form
    8,702.98/12,002.36 = 7,023.84/x
  3. Step 3: Cross multiply
    8,702.98x = 12,002.36 × 7,023.84
  4. Step 4: Simplify right side
    8,702.98x = 84,302,656.26
  5. Step 5: Solve for x
    x = 84,302,656.26/8,702.98
  6. Step 6: Final answer
    x = 9,686.64

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1.5x scale

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.