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Finding the Fourth Proportional to 10,434.71, 15,559 and 9,275.60

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Solution

The fourth proportional to 10,434.71, 15,559 and 9,275.60 is: 13,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.71 : 15,559 = 9,275.60 : x
  2. Step 2: Convert to fraction form
    10,434.71/15,559 = 9,275.60/x
  3. Step 3: Cross multiply
    10,434.71x = 15,559 × 9,275.60
  4. Step 4: Simplify right side
    10,434.71x = 144,319,060.40
  5. Step 5: Solve for x
    x = 144,319,060.40/10,434.71
  6. Step 6: Final answer
    x = 13,830.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.