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Finding the Fourth Proportional to 19,482.71, 26,865 and 12,400.07

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Solution

The fourth proportional to 19,482.71, 26,865 and 12,400.07 is: 17,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482.71 : 26,865 = 12,400.07 : x
  2. Step 2: Convert to fraction form
    19,482.71/26,865 = 12,400.07/x
  3. Step 3: Cross multiply
    19,482.71x = 26,865 × 12,400.07
  4. Step 4: Simplify right side
    19,482.71x = 333,127,880.55
  5. Step 5: Solve for x
    x = 333,127,880.55/19,482.71
  6. Step 6: Final answer
    x = 17,098.64

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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.