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Finding the Fourth Proportional to 7,041.60, 9,714.80 and 4,056

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Solution

The fourth proportional to 7,041.60, 9,714.80 and 4,056 is: 5,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.60 : 9,714.80 = 4,056 : x
  2. Step 2: Convert to fraction form
    7,041.60/9,714.80 = 4,056/x
  3. Step 3: Cross multiply
    7,041.60x = 9,714.80 × 4,056
  4. Step 4: Simplify right side
    7,041.60x = 39,403,228.80
  5. Step 5: Solve for x
    x = 39,403,228.80/7,041.60
  6. Step 6: Final answer
    x = 5,595.78

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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.