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Finding the Fourth Proportional to 30,275, 45,417.36 and 10,548.08

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Solution

The fourth proportional to 30,275, 45,417.36 and 10,548.08 is: 15,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275 : 45,417.36 = 10,548.08 : x
  2. Step 2: Convert to fraction form
    30,275/45,417.36 = 10,548.08/x
  3. Step 3: Cross multiply
    30,275x = 45,417.36 × 10,548.08
  4. Step 4: Simplify right side
    30,275x = 479,065,946.67
  5. Step 5: Solve for x
    x = 479,065,946.67/30,275
  6. Step 6: Final answer
    x = 15,823.81

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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.