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Finding the Fourth Proportional to 30,655.65, 45,983.51 and 10,663.77

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Solution

The fourth proportional to 30,655.65, 45,983.51 and 10,663.77 is: 15,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.65 : 45,983.51 = 10,663.77 : x
  2. Step 2: Convert to fraction form
    30,655.65/45,983.51 = 10,663.77/x
  3. Step 3: Cross multiply
    30,655.65x = 45,983.51 × 10,663.77
  4. Step 4: Simplify right side
    30,655.65x = 490,357,574.43
  5. Step 5: Solve for x
    x = 490,357,574.43/30,655.65
  6. Step 6: Final answer
    x = 15,995.67

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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.