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Finding the Fourth Proportional to 19,315, 26,654.70 and 10,931.50

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Solution

The fourth proportional to 19,315, 26,654.70 and 10,931.50 is: 15,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,315 : 26,654.70 = 10,931.50 : x
  2. Step 2: Convert to fraction form
    19,315/26,654.70 = 10,931.50/x
  3. Step 3: Cross multiply
    19,315x = 26,654.70 × 10,931.50
  4. Step 4: Simplify right side
    19,315x = 291,375,853.05
  5. Step 5: Solve for x
    x = 291,375,853.05/19,315
  6. Step 6: Final answer
    x = 15,085.47

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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.