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Finding the Fourth Proportional to 1,315.52, 1,971.68 and 947.76

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Solution

The fourth proportional to 1,315.52, 1,971.68 and 947.76 is: 1,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.52 : 1,971.68 = 947.76 : x
  2. Step 2: Convert to fraction form
    1,315.52/1,971.68 = 947.76/x
  3. Step 3: Cross multiply
    1,315.52x = 1,971.68 × 947.76
  4. Step 4: Simplify right side
    1,315.52x = 1,868,679.44
  5. Step 5: Solve for x
    x = 1,868,679.44/1,315.52
  6. Step 6: Final answer
    x = 1,420.49

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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.