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Finding the Fourth Proportional to 21,307.70, 31,961.55 and 9,643.70

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Solution

The fourth proportional to 21,307.70, 31,961.55 and 9,643.70 is: 14,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.70 : 31,961.55 = 9,643.70 : x
  2. Step 2: Convert to fraction form
    21,307.70/31,961.55 = 9,643.70/x
  3. Step 3: Cross multiply
    21,307.70x = 31,961.55 × 9,643.70
  4. Step 4: Simplify right side
    21,307.70x = 308,227,599.74
  5. Step 5: Solve for x
    x = 308,227,599.74/21,307.70
  6. Step 6: Final answer
    x = 14,465.55

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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.