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Finding the Fourth Proportional to 14,320.32, 19,758 and 9,284.76

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Solution

The fourth proportional to 14,320.32, 19,758 and 9,284.76 is: 12,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.32 : 19,758 = 9,284.76 : x
  2. Step 2: Convert to fraction form
    14,320.32/19,758 = 9,284.76/x
  3. Step 3: Cross multiply
    14,320.32x = 19,758 × 9,284.76
  4. Step 4: Simplify right side
    14,320.32x = 183,448,288.08
  5. Step 5: Solve for x
    x = 183,448,288.08/14,320.32
  6. Step 6: Final answer
    x = 12,810.35

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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.