Home / 6,470-8,928.64-3,675.52

Finding the Fourth Proportional to 6,470, 8,928.64 and 3,675.52

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Solution

The fourth proportional to 6,470, 8,928.64 and 3,675.52 is: 5,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 8,928.64 = 3,675.52 : x
  2. Step 2: Convert to fraction form
    6,470/8,928.64 = 3,675.52/x
  3. Step 3: Cross multiply
    6,470x = 8,928.64 × 3,675.52
  4. Step 4: Simplify right side
    6,470x = 32,817,394.89
  5. Step 5: Solve for x
    x = 32,817,394.89/6,470
  6. Step 6: Final answer
    x = 5,072.24

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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.