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Finding the Fourth Proportional to 30,574.08, 45,831.96 and 9,784.08

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Solution

The fourth proportional to 30,574.08, 45,831.96 and 9,784.08 is: 14,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.08 : 45,831.96 = 9,784.08 : x
  2. Step 2: Convert to fraction form
    30,574.08/45,831.96 = 9,784.08/x
  3. Step 3: Cross multiply
    30,574.08x = 45,831.96 × 9,784.08
  4. Step 4: Simplify right side
    30,574.08x = 448,423,563.20
  5. Step 5: Solve for x
    x = 448,423,563.20/30,574.08
  6. Step 6: Final answer
    x = 14,666.79

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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.