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Finding the Fourth Proportional to 7,038.40, 9,714.72 and 5,053.44

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Solution

The fourth proportional to 7,038.40, 9,714.72 and 5,053.44 is: 6,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.40 : 9,714.72 = 5,053.44 : x
  2. Step 2: Convert to fraction form
    7,038.40/9,714.72 = 5,053.44/x
  3. Step 3: Cross multiply
    7,038.40x = 9,714.72 × 5,053.44
  4. Step 4: Simplify right side
    7,038.40x = 49,092,754.64
  5. Step 5: Solve for x
    x = 49,092,754.64/7,038.40
  6. Step 6: Final answer
    x = 6,974.99

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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.