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Finding the Fourth Proportional to 5,303.60, 7,955.72 and 1,408

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Solution

The fourth proportional to 5,303.60, 7,955.72 and 1,408 is: 2,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.60 : 7,955.72 = 1,408 : x
  2. Step 2: Convert to fraction form
    5,303.60/7,955.72 = 1,408/x
  3. Step 3: Cross multiply
    5,303.60x = 7,955.72 × 1,408
  4. Step 4: Simplify right side
    5,303.60x = 11,201,653.76
  5. Step 5: Solve for x
    x = 11,201,653.76/5,303.60
  6. Step 6: Final answer
    x = 2,112.08

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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.