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Finding the Fourth Proportional to 14,169, 21,254.25 and 4,307.53

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Solution

The fourth proportional to 14,169, 21,254.25 and 4,307.53 is: 6,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169 : 21,254.25 = 4,307.53 : x
  2. Step 2: Convert to fraction form
    14,169/21,254.25 = 4,307.53/x
  3. Step 3: Cross multiply
    14,169x = 21,254.25 × 4,307.53
  4. Step 4: Simplify right side
    14,169x = 91,553,319.50
  5. Step 5: Solve for x
    x = 91,553,319.50/14,169
  6. Step 6: Final answer
    x = 6,461.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.