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Finding the Fourth Proportional to 9,702.63, 14,555.80 and 3,127.05

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Solution

The fourth proportional to 9,702.63, 14,555.80 and 3,127.05 is: 4,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.63 : 14,555.80 = 3,127.05 : x
  2. Step 2: Convert to fraction form
    9,702.63/14,555.80 = 3,127.05/x
  3. Step 3: Cross multiply
    9,702.63x = 14,555.80 × 3,127.05
  4. Step 4: Simplify right side
    9,702.63x = 45,516,714.39
  5. Step 5: Solve for x
    x = 45,516,714.39/9,702.63
  6. Step 6: Final answer
    x = 4,691.17

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1.5x scale

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.