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Finding the Fourth Proportional to 7,663.77, 10,574.06 and 4,678.52

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Solution

The fourth proportional to 7,663.77, 10,574.06 and 4,678.52 is: 6,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.77 : 10,574.06 = 4,678.52 : x
  2. Step 2: Convert to fraction form
    7,663.77/10,574.06 = 4,678.52/x
  3. Step 3: Cross multiply
    7,663.77x = 10,574.06 × 4,678.52
  4. Step 4: Simplify right side
    7,663.77x = 49,470,874.93
  5. Step 5: Solve for x
    x = 49,470,874.93/7,663.77
  6. Step 6: Final answer
    x = 6,455.16

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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.