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Finding the Fourth Proportional to 12,897.64, 19,312.86 and 7,042.24

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Solution

The fourth proportional to 12,897.64, 19,312.86 and 7,042.24 is: 10,545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.64 : 19,312.86 = 7,042.24 : x
  2. Step 2: Convert to fraction form
    12,897.64/19,312.86 = 7,042.24/x
  3. Step 3: Cross multiply
    12,897.64x = 19,312.86 × 7,042.24
  4. Step 4: Simplify right side
    12,897.64x = 136,005,795.21
  5. Step 5: Solve for x
    x = 136,005,795.21/12,897.64
  6. Step 6: Final answer
    x = 10,545.01

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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.