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Finding the Fourth Proportional to 1,567.08, 2,160.08 and 1,147.46

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Solution

The fourth proportional to 1,567.08, 2,160.08 and 1,147.46 is: 1,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.08 : 2,160.08 = 1,147.46 : x
  2. Step 2: Convert to fraction form
    1,567.08/2,160.08 = 1,147.46/x
  3. Step 3: Cross multiply
    1,567.08x = 2,160.08 × 1,147.46
  4. Step 4: Simplify right side
    1,567.08x = 2,478,605.40
  5. Step 5: Solve for x
    x = 2,478,605.40/1,567.08
  6. Step 6: Final answer
    x = 1,581.67

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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.