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Finding the Fourth Proportional to 5,275.67, 7,913.99 and 1,527.40

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Solution

The fourth proportional to 5,275.67, 7,913.99 and 1,527.40 is: 2,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.67 : 7,913.99 = 1,527.40 : x
  2. Step 2: Convert to fraction form
    5,275.67/7,913.99 = 1,527.40/x
  3. Step 3: Cross multiply
    5,275.67x = 7,913.99 × 1,527.40
  4. Step 4: Simplify right side
    5,275.67x = 12,087,811.19
  5. Step 5: Solve for x
    x = 12,087,811.19/5,275.67
  6. Step 6: Final answer
    x = 2,291.24

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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.