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Finding the Fourth Proportional to 7,148.61, 9,865.59 and 4,316.67

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Solution

The fourth proportional to 7,148.61, 9,865.59 and 4,316.67 is: 5,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.61 : 9,865.59 = 4,316.67 : x
  2. Step 2: Convert to fraction form
    7,148.61/9,865.59 = 4,316.67/x
  3. Step 3: Cross multiply
    7,148.61x = 9,865.59 × 4,316.67
  4. Step 4: Simplify right side
    7,148.61x = 42,586,496.39
  5. Step 5: Solve for x
    x = 42,586,496.39/7,148.61
  6. Step 6: Final answer
    x = 5,957.31

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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.