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Finding the Fourth Proportional to 6,953.81, 10,430.71 and 1,688.82

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Solution

The fourth proportional to 6,953.81, 10,430.71 and 1,688.82 is: 2,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.81 : 10,430.71 = 1,688.82 : x
  2. Step 2: Convert to fraction form
    6,953.81/10,430.71 = 1,688.82/x
  3. Step 3: Cross multiply
    6,953.81x = 10,430.71 × 1,688.82
  4. Step 4: Simplify right side
    6,953.81x = 17,615,591.66
  5. Step 5: Solve for x
    x = 17,615,591.66/6,953.81
  6. Step 6: Final answer
    x = 2,533.23

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1.5x scale

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.