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Finding the Fourth Proportional to 7,439.42, 10,253.62 and 7,089.08

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Solution

The fourth proportional to 7,439.42, 10,253.62 and 7,089.08 is: 9,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.42 : 10,253.62 = 7,089.08 : x
  2. Step 2: Convert to fraction form
    7,439.42/10,253.62 = 7,089.08/x
  3. Step 3: Cross multiply
    7,439.42x = 10,253.62 × 7,089.08
  4. Step 4: Simplify right side
    7,439.42x = 72,688,663.48
  5. Step 5: Solve for x
    x = 72,688,663.48/7,439.42
  6. Step 6: Final answer
    x = 9,770.74

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Half scale
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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.