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Finding the Fourth Proportional to 7,864.48, 11,730.29 and 7,407.64

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Solution

The fourth proportional to 7,864.48, 11,730.29 and 7,407.64 is: 11,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.48 : 11,730.29 = 7,407.64 : x
  2. Step 2: Convert to fraction form
    7,864.48/11,730.29 = 7,407.64/x
  3. Step 3: Cross multiply
    7,864.48x = 11,730.29 × 7,407.64
  4. Step 4: Simplify right side
    7,864.48x = 86,893,765.42
  5. Step 5: Solve for x
    x = 86,893,765.42/7,864.48
  6. Step 6: Final answer
    x = 11,048.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.