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Finding the Fourth Proportional to 14,115, 19,478.70 and 7,828.68

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Solution

The fourth proportional to 14,115, 19,478.70 and 7,828.68 is: 10,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 19,478.70 = 7,828.68 : x
  2. Step 2: Convert to fraction form
    14,115/19,478.70 = 7,828.68/x
  3. Step 3: Cross multiply
    14,115x = 19,478.70 × 7,828.68
  4. Step 4: Simplify right side
    14,115x = 152,492,509.12
  5. Step 5: Solve for x
    x = 152,492,509.12/14,115
  6. Step 6: Final answer
    x = 10,803.58

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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.