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Finding the Fourth Proportional to 25,778.76, 35,574.80 and 15,030

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Solution

The fourth proportional to 25,778.76, 35,574.80 and 15,030 is: 20,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.76 : 35,574.80 = 15,030 : x
  2. Step 2: Convert to fraction form
    25,778.76/35,574.80 = 15,030/x
  3. Step 3: Cross multiply
    25,778.76x = 35,574.80 × 15,030
  4. Step 4: Simplify right side
    25,778.76x = 534,689,244.00
  5. Step 5: Solve for x
    x = 534,689,244.00/25,778.76
  6. Step 6: Final answer
    x = 20,741.46

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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.