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Finding the Fourth Proportional to 7,038.19, 9,712.70 and 3,894.38

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Solution

The fourth proportional to 7,038.19, 9,712.70 and 3,894.38 is: 5,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.19 : 9,712.70 = 3,894.38 : x
  2. Step 2: Convert to fraction form
    7,038.19/9,712.70 = 3,894.38/x
  3. Step 3: Cross multiply
    7,038.19x = 9,712.70 × 3,894.38
  4. Step 4: Simplify right side
    7,038.19x = 37,824,944.63
  5. Step 5: Solve for x
    x = 37,824,944.63/7,038.19
  6. Step 6: Final answer
    x = 5,374.24

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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.