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Finding the Fourth Proportional to 14,280, 19,715.04 and 9,320.64

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Solution

The fourth proportional to 14,280, 19,715.04 and 9,320.64 is: 12,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 19,715.04 = 9,320.64 : x
  2. Step 2: Convert to fraction form
    14,280/19,715.04 = 9,320.64/x
  3. Step 3: Cross multiply
    14,280x = 19,715.04 × 9,320.64
  4. Step 4: Simplify right side
    14,280x = 183,756,790.43
  5. Step 5: Solve for x
    x = 183,756,790.43/14,280
  6. Step 6: Final answer
    x = 12,868.12

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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.