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Finding the Fourth Proportional to 10,378.86, 15,492.50 and 9,001.86

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Solution

The fourth proportional to 10,378.86, 15,492.50 and 9,001.86 is: 13,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.86 : 15,492.50 = 9,001.86 : x
  2. Step 2: Convert to fraction form
    10,378.86/15,492.50 = 9,001.86/x
  3. Step 3: Cross multiply
    10,378.86x = 15,492.50 × 9,001.86
  4. Step 4: Simplify right side
    10,378.86x = 139,461,271.04
  5. Step 5: Solve for x
    x = 139,461,271.04/10,378.86
  6. Step 6: Final answer
    x = 13,437.05

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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.