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Finding the Fourth Proportional to 14,430.24, 19,915.64 and 8,464.24

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Solution

The fourth proportional to 14,430.24, 19,915.64 and 8,464.24 is: 11,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.24 : 19,915.64 = 8,464.24 : x
  2. Step 2: Convert to fraction form
    14,430.24/19,915.64 = 8,464.24/x
  3. Step 3: Cross multiply
    14,430.24x = 19,915.64 × 8,464.24
  4. Step 4: Simplify right side
    14,430.24x = 168,570,756.71
  5. Step 5: Solve for x
    x = 168,570,756.71/14,430.24
  6. Step 6: Final answer
    x = 11,681.77

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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.