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Finding the Fourth Proportional to 7,064.76, 9,742.64 and 5,148.84

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Solution

The fourth proportional to 7,064.76, 9,742.64 and 5,148.84 is: 7,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.76 : 9,742.64 = 5,148.84 : x
  2. Step 2: Convert to fraction form
    7,064.76/9,742.64 = 5,148.84/x
  3. Step 3: Cross multiply
    7,064.76x = 9,742.64 × 5,148.84
  4. Step 4: Simplify right side
    7,064.76x = 50,163,294.54
  5. Step 5: Solve for x
    x = 50,163,294.54/7,064.76
  6. Step 6: Final answer
    x = 7,100.50

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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.