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Finding the Fourth Proportional to 10,465, 14,450.34 and 9,053.80

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Solution

The fourth proportional to 10,465, 14,450.34 and 9,053.80 is: 12,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465 : 14,450.34 = 9,053.80 : x
  2. Step 2: Convert to fraction form
    10,465/14,450.34 = 9,053.80/x
  3. Step 3: Cross multiply
    10,465x = 14,450.34 × 9,053.80
  4. Step 4: Simplify right side
    10,465x = 130,830,488.29
  5. Step 5: Solve for x
    x = 130,830,488.29/10,465
  6. Step 6: Final answer
    x = 12,501.72

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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.