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Finding the Fourth Proportional to 7,752.64, 10,698.78 and 4,395.28

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Solution

The fourth proportional to 7,752.64, 10,698.78 and 4,395.28 is: 6,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.64 : 10,698.78 = 4,395.28 : x
  2. Step 2: Convert to fraction form
    7,752.64/10,698.78 = 4,395.28/x
  3. Step 3: Cross multiply
    7,752.64x = 10,698.78 × 4,395.28
  4. Step 4: Simplify right side
    7,752.64x = 47,024,133.76
  5. Step 5: Solve for x
    x = 47,024,133.76/7,752.64
  6. Step 6: Final answer
    x = 6,065.56

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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.