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Finding the Fourth Proportional to 12,702.64, 19,045.86 and 5,312.20

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Solution

The fourth proportional to 12,702.64, 19,045.86 and 5,312.20 is: 7,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.64 : 19,045.86 = 5,312.20 : x
  2. Step 2: Convert to fraction form
    12,702.64/19,045.86 = 5,312.20/x
  3. Step 3: Cross multiply
    12,702.64x = 19,045.86 × 5,312.20
  4. Step 4: Simplify right side
    12,702.64x = 101,175,417.49
  5. Step 5: Solve for x
    x = 101,175,417.49/12,702.64
  6. Step 6: Final answer
    x = 7,964.91

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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.